Long Division Calculator with Decimals (2024)

Calculator Use

Do long division with decimal numbers and see the work for the calculation step-by-step. Enter positive or negative decimal numbers for divisor and dividend and calculate a quotient answer.

How to Do Long Division with Decimals

  1. If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. Then move the decimal point in the number you're dividing the same number of places to the right.
  2. Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.
  3. Divide until the remainder is zero, or until you have enough decimal places in your answer. You can also stop if the remainder repeats because this indicates that your answer is a repeating decimal.

Calculate Decimal Places for a Quotient Answer

How far do you want to calculate the decimal places for the answer? Here are some examples:

  • 31 divided by 16 = 1.937500 calculating to 6 decimal places
  • 31 divided by 16 = 1.937 calculating to 3 decimal places
  • 22 divided by 15 = 1.466666666 calculating 9 decimal places
  • 22 divided by 15 = 1.466666 calculating 6 decimal places
  • 22 divided by 15 = 1.466 calculating to 3 decimal places

Note that this is not the same as rounding to a specific number of decimal places. For example, 22 divided by 15 = 1.466 when calculated to 3 decimal places because you stop once you reach the third decimal place. On the other hand, 22 divided by 15 = 1.467 when rounded to 3 decimal places. In order to round to the third decimal place you must calculate to at least the fourth decimal place so that you know how to round the third decimal place. See our Rounding Numbers Calculator for more information.

Also see our Long Division with Remainders to see the work for long division with remainders.

Parts of Division

For the division problem 471 divided by 32:

  • 471 is the dividend
  • 32 is the divisor
  • 14.718 is the quotient calculated out to 3 decimal places

Long Division Calculator with Decimals (1)

How to do Long Division with Decimals: Example

In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.

Long Division

Step-by-Step

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Set up the problem with the long division bracket. Put the dividend inside the bracket and the divisor on the outside to the left.

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If the divisor is a decimal number, move the decimal all the way to the right. Count the number of places and move the decimal in the dividend the same number of places. Add zeroes if needed.

Since 3.2 is not a whole number move the decimal point one place to the right. 32 is a whole number. Do the same to the dividend and move the decimal one place to the right.

Since we are solving to 3 decimal places, add two trailing zeroes to the dividend.

Insert a decimal point above the division bar, directly above the new decimal position in the dividend.

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Divide the left most number of the dividend by the divisor, in this case divide 4 by 32.

Since 4 divided by 32 is not a whole number, the first quotient digit is 0.

Multiply the divisor 32 by the quotient 0 to get the product 0. Subtract 0 from 4 to get the remainder 4.

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Next, bring down the 7 from the dividend so you have 47.

What is 47 divided by 32? Or in other words, how many times does 32 go into 47? Just once, with a remainder.

Insert 1 in the quotient. To find the remainder, multiply the divisor by 1 and subtract the product 32 from the second dividend 47. The remainder is 15.

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Again, bring down the next digit from the dividend, 1, and place it at the end of the remainder.

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Repeat the steps. What is 151 divided by 32? Or, how many times does 32 go into 151?

32 goes into 151 four times. Put a 4 in the next place in the quotient and multiply 32 by 4 to get 128.

Subtract that product from 151 to find a remainder of 23.

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Bring down the 0 from the dividend and insert it after 23 to get 230.

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What is 230 divided by 32? 32 goes into 230 seven times. Put a 7 in the next place in the quotient.

32 times 7 is 224.

230 minus 224 leaves a remainder of 6.

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Now bring down the next zero from the dividend and repeat the steps.

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32 goes into 60 only once. Put a 1 in the next place in the quotient.

32 multiplied by 1 is 32.

Subtracting 32 from 60 leaves a remainder of 28.

Wikipedia: Long Division

Long Division Calculator with Decimals (2024)

FAQs

How to do long division with decimal answers? ›

Therefore, the three steps to performing long division with decimals are: 1) eliminate the decimal from the divisor, if any; 2) perform long division as usual; and 3) use the same decimal place for the quotient as in the dividend.

How can you check your answer when dividing with decimals? ›

Step 4: Place a decimal point in the quotient directly above where it appears in the dividend, and check your work by comparing your answer to the estimate you made in the first step.

How to do decimal division calculator? ›

Dividing Decimals Calculator
  1. Dividing Decimals Calculator is a free online tool that displays the result when two decimals are divided. ...
  2. The procedure to use the dividing decimals calculator is as follows:
  3. Step 1: Enter the two decimal numbers in the input field.
  4. Step 2: Now click the button “Solve” to get the result.

What is 68.25 divided by 65 long division? ›

Expert-Verified Answer

Long division is used to solve 68.25 divided by 65 by dividing the initial two numbers, identifying the remainder, and bringing down the remaining digits to continue the division. By completing these steps, you get an answer of 1.05.

How to divide and get decimal answers? ›

In this math lesson, we learn how to divide two numbers and find a decimal answer. We divide 63 by 35, first getting a remainder of 28. To obtain a decimal result, we add a zero to 63, making it 63.0, and then divide 280 by 35.

How to do long division with decimals without a calculator? ›

Divide decimals by multiplying both numbers by a factor of 10 so the divisor no longer has a decimal value. Then, use long division to divide as normal. Place the decimal point in the quotient directly above the decimal point in the dividend. Multiply both by 100 to get rid of the decimal part in the divisor.

Is there a trick to dividing decimals? ›

First, convert the divisor into a whole number by shifting the decimal point to the right. Apply the same process to the dividend. Then, perform regular division with the new numbers. Finally, position the decimal point in the quotient to match the dividend.

What is the rule for dividing decimals? ›

A division problem with decimals is written the same way a normal division problem is written. The only difference is the divisor must be converted to a whole number by moving the decimal place to the right, and the same modification must be done to the dividend.

How to calculate long division step by step? ›

How to Do Long Division in Simple Steps
  1. Set up the problem. Write the dividend (845) under the division bar and the divisor (3) outside the bar.
  2. Divide. ...
  3. Multiply. ...
  4. Subtract. ...
  5. Bring down the next digit. ...
  6. Repeat the steps. ...
  7. The final answer with a remainder. ...
  8. Convert the remainder to decimal form.
Feb 6, 2024

How do you estimate division with decimals? ›

Estimating in decimal division involves rounding numbers to make calculations easier. Practice rounding decimals to the nearest whole number or a simple fraction, then perform the division. This won't yield an exact result, but a close approximation, which can be useful in many real-life situations.

What is the answer to 5 divided by 65 long division? ›

Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (3) by the divisor 5 . Subtract 15 from 15 . The result of division of 65÷5 65 ÷ 5 is 13 .

How do you divide decimals step by step? ›

First, convert the divisor into a whole number by shifting the decimal point to the right. Apply the same process to the dividend. Then, perform regular division with the new numbers. Finally, position the decimal point in the quotient to match the dividend.

References

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