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- Divides any two whole numbers and gives the quotient and remainder.
- Can also give the decimal answer, with repeating digits shown in brackets.
- Shows every long division step: divide, multiply, subtract, bring down.
- Checks the answer with divisor × quotient + remainder.
How to use the long division calculator
Enter the dividend
The number being divided, for example 7425.
Enter the divisor
The number you divide by, for example 15.
Choose the answer type
Quotient and remainder, or a decimal.
Follow the steps
Each line shows one step of the long division.
How long division works
Long division breaks a big division into small steps. Work from left to right: divide the current number by the divisor, multiply, subtract, then bring down the next digit. Repeat until no digits are left. Whatever is left at the end is the remainder.
Checking a division
Dividend = divisor × quotient + remainder
The remainder is always smaller than the divisor
Example 1: 7425 ÷ 15
Divides exactly.
- 74 ÷ 15 4, and 74 − 60 = 14
- 142 ÷ 15 9, and 142 − 135 = 7
- 75 ÷ 15 5, and 75 − 75 = 0
- Answer 495
Example 2: 100 ÷ 7
With a remainder.
- Quotient and remainder 14 R 2
- Mixed number 14 2/7
- Decimal 14.(285714), the six digits repeat
- Check 7 × 14 + 2 = 100
Example 3: more answers
Quick results.
- 1234 ÷ 4 308 R 2 = 308 1/2
- 1 ÷ 8 0.125
- 1 ÷ 6 0.1(6)
- 22 ÷ 7 3.(142857)
Who uses a long division calculator
Students
Check homework and see where a step went wrong.
Parents and teachers
Show the full method, not just the answer.
Remainder problems
Share items into equal groups and see what is left.
Repeating decimals
See which digits repeat in fractions like 1/7.
Turn a remainder into a fraction with the fraction calculator, convert decimals with the decimal to fraction calculator, or divide huge numbers with the big number calculator.
Long division calculator FAQ
What are the steps of long division?
Divide, multiply, subtract and bring down the next digit. Repeat until there are no digits left.
What is 100 divided by 7?
14 remainder 2, or 14.285714… as a decimal, where 285714 repeats.
How do you write a remainder as a fraction?
Put the remainder over the divisor. 100 ÷ 7 = 14 R 2 = 14 2/7.
How do you check a long division answer?
Multiply the divisor by the quotient and add the remainder. You should get the dividend.
Can the remainder be bigger than the divisor?
No. If it is, the quotient digit in that step was too small.
What do the brackets in a decimal mean?
The digits inside the brackets repeat forever. 0.1(6) means 0.16666…