how to solve the problem 425 divided by 25

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What is 425 divided by 25 using long division?

Confused by long division? By the end of this article you'll be able to divide 425 by 25 using long division and be able to apply the same technique to any other long division problem you have! Let's take a look.

Want to quickly learn or show students how to solve 425 divided by 25 using long division? Play this very quick and fun video now!

Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

• The first number, 425, is called the dividend.
• The second number, 25 is called the divisor.

What we'll do here is break down each step of the long division process for 425 divided by 25 and explain each of them so you understand exactly what is going on.

425 divided by 25 step-by-step guide

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

We can work out that the divisor (25) goes into the first digit of the dividend (4), 0 time(s). Now we know that, we can put 0 at the top:

If we multiply the divisor by the result in the previous step (25 x 0 = 0), we can now add that answer below the dividend:

Next, we will subtract the result from the previous step from the second digit of the dividend (4 - 0 = 4) and write that answer below:

Move the second digit of the dividend (2) down like so:

The divisor (25) goes into the bottom number (42), 1 time(s), so we can put 1 on top:

If we multiply the divisor by the result in the previous step (25 x 1 = 25), we can now add that answer below the dividend:

Next, we will subtract the result from the previous step from the third digit of the dividend (42 - 25 = 17) and write that answer below:

Move the third digit of the dividend (5) down like so:

The divisor (25) goes into the bottom number (175), 7 time(s), so we can put 7 on top:

If we multiply the divisor by the result in the previous step (25 x 7 = 175), we can now add that answer below the dividend:

Next, we will subtract the result from the previous step from the fourth digit of the dividend (175 - 175 = 0) and write that answer below:

So, what is the answer to 425 divided by 25?

If you made it this far into the tutorial, well done! There are no more digits to move down from the dividend, which means we have completed the long division problem.

Your answer is the top number, and any remainder will be the bottom number. So, for 425 divided by 25, the final solution is:

Remainder 0

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Extra calculations for you

Now you've learned the long division approach to 425 divided by 25, here are a few other ways you might do the calculation:

• Using a calculator, if you typed in 425 divided by 25, you'd get 17.
• You could also express 425/25 as a mixed fraction: 17 0/25
• If you look at the mixed fraction 17 0/25, you'll see that the numerator is the same as the remainder (0), the denominator is our original divisor (25), and the whole number is our final answer (17).

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What is 425 divided by 26 using long division?

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Calculators » Math » Long division with steps

Long Division Calculator

Our online tools will provide quick answers to your calculation and conversion needs. On this page, you can divide two numbers using long division method with step by step instruction.

Numbers may be whole numbers, integers, or decimals

Sample: 205 divided by 2 using long division

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

Divide 2 by 2. Write the remainder after subtracting the bottom number from the top number.

Bring down next digit 0. Divide 0 by 2. Write the remainder after subtracting the bottom number from the top number.

Bring down next digit 5. Divide 05 by 2. Write the remainder after subtracting the bottom number from the top number.

4. Put the decimal point.

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 10 by 2. Write the remainder after subtracting the bottom number from the top number.

End of long division (Remainder is 0 and next digit after decimal is 0).

205 ÷ 2 = 102.5

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Division Calculator

Division is one of the four basic operations of arithmetic, the others being addition, divideion, and multiplication. The division of two natural numbers is the process of calculating the number of times one number is contained within the other. Division can also be thought of as the process of evaluating a fraction, and fractional notation (a ⁄ b) is commonly used to represent division.

Long Division Calculator – with Steps to Solve

Enter the divisor and dividend below to calculate the quotient and remainder using long division. The results and steps to solve it are shown below.

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How to Do Long Division with Remainders

Parts of a long division problem, steps to calculate a long division problem, how to get the quotient and remainder as a decimal, how to do long division without division, frequently asked questions.

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Learning long division is a crucial milestone in understanding essential math skills and a rite of passage to completing elementary school. It strikes fear in elementary school students and parents alike.

A recent study found that the understanding of long division and fractions in elementary school is directly linked to the student’s ability to learn and understand algebra later in school. [1]

Have no fear!

Learning long division can be easy, and in just a few easy steps, you can solve any long division problem. Follow along as we break it down, but first, we need to cover the anatomy of a long division problem.

There are a few parts to a long division problem, as shown in the image above.

The dividend is the number being divided and appears to the right and under the division line.

The divisor is the number being divided by and appears to the left of the division line.

The quotient is the solution and is shown above the dividend over the division line. Often in long division, the quotient is referred to as just the whole number part of the solution.

The remainder is the remaining part of the solution, or what’s leftover, that doesn’t fit evenly into the quotient.

There are a few main steps to solving a long division problem: divide, multiply, subtract, bringing the number down, and repeating the process.

Step One: Set up the Expression

The first step in solving a long division problem is to draw the equation that needs to be solved. If the problem is already in long division form, then skip along to step two.

If it’s not, this is how to draw the long division problem.

Start by drawing a vertical bar to separate the divisor and dividend and an overbar to separate the dividend and quotient.

Place the dividend to the right of the vertical bar and under the overbar. Place the divisor to the left of the vertical bar.

For example , to divide 75 by 4, the long division problem should look like this:

Step Two: Divide

With the long division problem drawn, start by dividing the first digit in the dividend by the divisor.

You can also think about this as counting the number of times the divisor will evenly fit into this digit in the dividend.

If the divisor does not fit into the first digit an even number of times, drop the remainder or decimal portion of the result and write the whole number portion of the result in the quotient above the overline directly above the digit in the dividend.

For example , the divisor “4” goes evenly into the first digit of the dividend “7” one time, so a “1” can be added to the quotient above the 7.

Step Three: Multiply

The next step is to multiply the divisor by the digit just added to the quotient. Write the result below the digit in the dividend.

This step forms the part of the expression for the next step.

Continuing with our example, multiplying the divisor “4” by “1”, which we found in the previous step, equals “4”. So, add a “4” below the first digit in the dividend.

Step Four: Subtract

Now, add a minus sign “-” before the number added in the previous step and draw a line below it to form a subtraction expression.

Continuing the example above, add a “-” before the “4” and a subtraction line below it.

Now that you have created a subtraction problem, it’s time to solve it.

To solve, subtract “7” minus “4”, which equals “3”, so write a “3” below the subtraction line.

Note: if the resulting value of the subtraction problem is greater than the divisor, then you made a mistake in step 2 and should double-check your work.

If the long division problem has a dividend that is a single digit, then hooray, you’re done! The remaining number that is the result of the subtraction problem is the remainder , and the number above the dividend is the whole number quotient.

If more digits are remaining in the dividend, then proceed to the next step.

Step Five: Pull Down the Next Number

At this point in the process, it’s time to operate on the next number in the dividend. To do this, pull down the next digit in the dividend and place it directly to the right of the result from the subtraction problem above.

The next digit in the dividend is “5”. So, pull “5” down and write it next to the “3” found in the previous step.

Step Six: Repeat

At this point, you might be wondering where to go from here. Repeat steps two to five until all the digits in the dividend have been pulled down, divided, multiplied, and subtracted.

When dividing, use the result of the subtraction problem combined with the pulled-down digit as the dividend and divide the divisor into it.

Continuing the examples above, divide the result of the subtraction problem and the pulled-down digit by the divisor. Thus, the next step is to divide 35 by 4. The result is “8”, so add “8” to the quotient.

Next, multiply the quotient digit “8” by the divisor “4”, which equals 32. Add “32” to the long division problem and place a negative sign in front of it.

Next, repeat the subtraction process, subtracting 32 from 35, which equals 3. Add a “3” below the subtraction line. Since there are no longer any remaining digits in the dividend, this is the remainder portion of the solution.

Therefore, 75 divided by 4 is 18 with a remainder of 3. As you practice these steps, use the calculator above to confirm your answer and validate your steps solving long division problems.

If you’ve gotten this far, then you should have a good idea of how to solve a long division problem, but you might be stuck if you need to get the quotient as a decimal rather than a whole number with a remainder.

To calculate the quotient in decimal form, follow the steps above the get the whole number and remainder.

Next, divide the remainder by the divisor to get the remainder as a decimal. Finally, add the decimal to the quotient to get the quotient in decimal form.

For example , 75 ÷ 4 is 18 with a remainder of 3.

Divide 3 by 4 to get the decimal 0.75. 3 ÷ 4 = 0.75

Then, add 0.75 to 18 to get the quotient as a decimal. 0.75 + 18 = 18.75

Thus, the decimal form of 75 ÷ 4 equals 18.75.

While it defeats the purpose of actually learning how to do long division, there is technically a way to perform long division without actually doing any division. The way to do this is as follows.

Set up the long division expression the exact same way as you would normally.

Step Two: Repeatedly Subtract the Divisor

Now, subtract the divisor from the dividend. Afterward, subtract the divisor again from the remaining value. Do this repeatedly until the remaining value is less than the divisor.

Step Three: Count the Number of Subtractions

Finally, to find the quotient, simply count the number of times you subtracted the divisor. This is the whole number portion of the quotient, and the final remaining value is the remainder.

Note: While this method of solving long division problems may seem easier, it is often very impractical to do so. For example, in the above example of 75 divided by 4, you would need to repeat the subtraction 18 times!

Therefore, traditional long division is the vastly superior method.

Why is long division important?

Long division is important not just because it is a tool that allows us to solve difficult division problems, but because it helps to teach logical thinking that will prepare students to excel in solving future mathematical problems.

Why do we still teach long division?

We still teach long division because it teaches students how to think logically, a valuable skill that is shown not just to improve future understanding of algebraic concepts, but also to help solve problems in all aspects of their lives.

How do you check a long division answer?

Just like subtraction is the opposite of addition, multiplication is the opposite of division. Therefore, to check a long division answer, multiply the quotient by the divisor, and if it equals the dividend, then the answer is correct!

Can you do long division on a calculator?

While a calculator can solve division problems, it will not list out the steps used in evaluating a long division problem, and will therefore not improve your understanding of how to perform long division.

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This calculator finds the quotient and remainder using the long division method. The calculator will help you in learning the long division algorithm as well as checking your own long division problems' solutions.

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Long Division Algorithm

Assume we want to divide 127 by 5 using long division. The algorithm for solving this problem can be explained in a step-by-step manner.

Step 1: Identify the divisor and dividend and set up the division problem. In our example, the divisor is 127, and the dividend is number 5. The division problem is:

Step 2: Divide the first digit in the dividend by the first digit of the divisor. Write zero at the top of the table:

Step 2: Divide the 12 by the divisor. [ 12 : 5 = 2] . Write 2 at the top of the table:

Step 3: Multiply 2 by 5, then write the result below 12.

Step 4: Subtract 10 from 12.

Step 5: Bring down the next digit.

Step 6: Divide 27 by 5. Write number 5 at the top row. Then multiply 5 by 5 to get 25.

Step 7: Multiply 5 by 5 to get 25.

Step 8: Subtract 25 from 27 to get the reminder of 2. The quotient is 25.

1. Long division steps, method and examples

2. Step-by-step guide on how to perform long division.

3. Online calculator with step-by-step explanations.

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Long Division Calculator

Long division calculator with step by step work for 3rd grade, 4th grade, 5th grade and 6th grade students to verify the results of long division problems with or without remainder. Generate work with steps for 2 by 1, 3 by 2, 3 by 1, 4 by 3, 4 by 2, 4 by 1, 5 by 4, 5 by 3, 5 by 2, 6 by 4, 6 by 3 and 6 by 2 digits long division practice or homework problems.

How to do Long Division with Decimal

Just supply the values of dividend, divisor and hit on ENTER button to find the Quotient and Remainder in decimal. The step by step work reveals how to do long division between different combination of dividend and divisor. By using this long division calculator, users can perform division with remainder or without remainder which comprises large numbers.

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Solved Example for Long Division

What is the Quotient and Remainder for 9452 divided by 11 using long division method? The below solved example of 4 by 2 digit long division with remainder may useful to understand how to do long division manually for assignment, classwork and homework problems.

• Arrange the 4-digit dividend and 2-digit divisor numbers for long division method and compare if the the first two digits of dividend 9452 is bigger than the divisor 11.
• Check how many times the divisor can be accommodated in the 94 and write the value as part of quotient. The divisor 11 can be accommodated 8-times in 94. Write 8 as the most significant digit of quotient.
• Find the difference between 94 and product of 8 and 11, if any. 6 is the difference between 94 and 88.
• Bring down the 3rd digit of initial dividend and append (not adding) it to the right side of remainder 6 to form the new dividend. Hence, the new dividend becomes 65
• Compare if the new dividend 65 is greater than the divisor 11 and check how many times the divisor can be accommodated in the new dividend formed by brining down the 3rd digit. The divisor 11 can be accommodated 5-times in 65. Append the value 5 (number of times) right to the earlier quotient 8. Hence, the remainder becomes 85 now.
• Find the difference between 65 and product of 5 and 11, if any. 10 is the difference between 65 and 55.
• Bring down and append 4th digit 2 to the right side of earlier difference 10. Hence the new dividend becomes 102.
• Check how many times the divisor 11 can be accommodated in the new dividend formed by brining down the 4th digit. The divisor 11 can be accommodated 9-times in 102. Append the value 9 (number of times) right to the earlier quotient 85. Hence, the remainder becomes 859 now.
• Check for the difference between 102 and the product of 11 and 9. Due to no more digits available for bringing down, the final difference 3 is the decimal Remainder of dividend 9452 divided by 11.
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Long Division Calculator

Division is one of the basic arithmetic operations, the others being multiplication (the inverse of division), addition, and subtraction. The arithmetic operations are ways that numbers can be combined in order to make new numbers. Division can be thought of as the number of times a given number goes into another number. For example, 2 goes into 8 4 times, so 8 divided by 4 equals 2.

Division can be denoted in a few different ways. Using the example above:

8 ÷ 4 = 2

In order to more effectively discuss division, it is important to understand the different parts of a division problem.

Components of division

Generally, a division problem has three main parts: the dividend, divisor, and quotient. The number being divided is the dividend, the number that divides the dividend is the divisor, and the quotient is the result:

One way to think of the dividend is that it is the total number of objects available. The divisor is the desired number of groups of objects, and the quotient is the number of objects within each group. Thus, assuming that there are 8 people and the intent is to divide them into 4 groups, division indicates that each group would consist of 2 people. In this case, the number of people can be divided evenly between each group, but this is not always the case. There are two ways to divide numbers when the result won't be even. One way is to divide with a remainder, meaning that the division problem is carried out such that the quotient is an integer, and the leftover number is a remainder. For example, 9 cannot be evenly divided by 4. Instead, knowing that 8 ÷ 4 = 2, this can be used to determine that 9 ÷ 4 = 2 R1. In other words, 9 divided by 4 equals 2, with a remainder of 1. Long division can be used either to find a quotient with a remainder, or to find an exact decimal value.

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Table of contents

This quotient and remainder calculator helps you divide any number by an integer and calculate the result in the form of integers . In this article, we will explain to you how to use this tool and what are its limitations. We will also provide you with an example that will better illustrate its purpose.

🙋 If you want to particularly learn how to perform other related mathematical operations, you can separately check our long division calculator , our multiplication calculator , or our subtraction calculator .

Dividend, divisor, quotient, and remainder

When you perform division, you can typically write down this operation in the following way:

• a a a — Initial number you want to divide, called the dividend ;
• n n n — Number you divide by; it is called the divisor ;
• q q q — Result of division rounded down to the nearest integer; it is called the quotient ; and
• r r r — Remainder of this mathematical operation.

When performing division with our calculator with remainders, it is important to remember that all of these values must be integers. Otherwise, the result will be correct in terms of formulas but will not make mathematical sense.

Make sure to check our modulo calculator for a practical application of the calculator with remainders.

🔎 If the remainder is zero, then we say that a a a is divisible by n n n . To learn more about this concept, check out Omni's divisibility test calculator .

How to calculate the remainder

• Begin by writing down your problem. For example, you want to divide 346 by 7 .
• Decide on which of the numbers is the dividend, and which is the divisor. The dividend is the number that the operation is performed on – in this case, 346 . The divisor is the number that actually "does the work" – in this case, 7 .
• Perform the division – you can use any calculator you want. You will get a result that most probably is not an integer – in this example, 49.4285714 .
• Round this number down. In our example, you will get 49 .
• Multiply the number you obtained in the previous step by the divisor. In our case, 49 × 7 = 343 .
• Subtract the number from the previous step from your dividend to get the remainder: 346 - 343 = 3 .
• You can always use our calculator with remainders instead and save yourself some time 😀

How do I interpret the remainder?

Learning how to calculate the remainder has many real-world uses and is something that school teaches you that you will definitely use in your everyday life. Let’s say you bought 18 doughnuts for eighteen of your friends, but only 15 friends showed up, you’d have 3 doughnuts left . And how much money did you have left after buying the doughnuts?

What are some remainder tricks?

It's useful to remember some remainder shortcuts to save you time in the future. First, if a number is being divided by 10 , then the remainder is just the last digit of that number . Similarly, if a number is being divided by 9, add each of the digits to each other until you are left with one number (e.g., 1164 becomes 12 which in turn becomes 3), which is the remainder.

What is the quotient and the remainder?

The quotient is the number of times a division is completed fully , while the remainder is the amount left that doesn’t entirely go into the divisor . For example, 127 divided by 3 is 42 R 1 , so 42 is the quotient, and 1 is the remainder.

How do you write a remainder as a fraction?

Once you have found the remainder of a division, instead of writing R followed by the remainder after the quotient, simply write a fraction where the remainder is divided by the divisor of the original equation . It's that easy!

How do you write remainders?

There are 2 ways of writing a remainder: with an R and as a fraction . For example, 821 divided by 4 would be written as 205 R 1 in the first case, 205 1 / 4 in the second.

What is the remainder when 26 is divided by 6?

The remainder is 2 . To work this out, find the largest multiple of 6 that is less than 26. In this case, it’s 24. Then subtract the 24 from 26 to get the remainder, which is 2.

What is the remainder when 599 is divided by 9?

The remainder is 5 . To calculate this, first, divide 599 by 9 to get the largest multiple of 9 before 599. 5/9 < 1, so carry the 5 to the tens, 59/9 = 6 r 5, so carry the 5 to the digits. 59/9 = 6 r 5 again, so the largest multiple is 66. Multiply 66 by 9 to get 594, and subtract this from 599 to get 5, the remainder.

How do I calculate the remainder of 24 divided by 7?

• Subtract 7 from 24 repeatedly until the result is less than 7.
• 24 minus 3 times 7 is 3 .
• The number that is left, 3 , is the remainder.
• This can be expressed as 3 / 7 in fractional form .

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Defines the methodologies to be used when deriving custom aggregates. These rules apply only to custom country groups you have created! Learn More »

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• Exponential growth rate: the growth rate, r, between two points in time calculated from the equation r = ln(pn/p0)/n, where pn and p0 are the last and first observations in the period, n is the number of years in the period range, and ln is the natural logarithm operator. This growth rate is based on a model of continuous, exponential growth between two points in time. It does not take into account the intermediate values of the series.
• Least-squares growth rate: the growth rate estimated by fitting a linear regression trend line to the logarithmic annual values of the variable in the relevant period. No growth rate is calculated if more than half the observations in a period are missing. The calculated growth rate is an average rate that is representative of the available observations over the entire period. It does not necessarily match the actual growth rate between any two periods.
• Geometric growth rate: the growth rate over n periods calculated as r = exp[ln(pn/p0)/n] - 1. It is applicable to compound growth over discrete periods. Like the exponential growth rate, it does not take into account intermediate values of the series.
• Average (or mean): the sum of values in the period divided by the number of values. Observations that are not available are ignored, however zero values are included.
• Median: the middle value in the period.
• Maximum: the highest value in the period.
• Minimum: the lowest value in the period.
• Standard deviation: the square root of the variance. Standard deviation is a measure of how widely values are dispersed from the average value (the mean).
• Sum: the sum of the values in the period.
• Variance: the mean of all squared deviations from the mean.
• Most recent value: The most recent value (MRV) function will display a value in the specified year range according to the selected order (observation sequence). The default order is "First" which will display the most recent value available in the period. Selecting a different order, such as "Second" for example, will display the second-most recent value in the period, etc. MRV options are also available to display the year of the data, either to the left or right of the data value.

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The Custom Country option allows you to create your own customized country groups from country selection panel.

Click on Custom Country. A new box will open. Click on the desired countries listed in the country selection panel. Enter the group name in the Enter Group Title box and click on Add. The new country group will be added to the right panel.

To edit an existing country group, click on the Edit link in the current selection panel in right side.

Now you can add new countries or remove the countries to an existing customized group. 1. Click on the additional countries listed in the country selection panel. 2. To remove the country from the group double click on the country or select the country and click Remove button. 3. Click on Add to save changes to your customized group. Note: Editing the group name will create a new custom group. You can remove the customized group by clicking on the Delete button in the current selection panel in right side

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