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Math · worked solutions

Long division calculator with steps

Enter a dividend and divisor to find the quotient and remainder. The calculator shows what to divide, multiply, subtract, and bring down at every digit.

Whole-number division

Enter the problem

Up to 120 digits per number

Digits only; zero is allowed.

Digits only; must be greater than zero.

Try an example:

This calculator accepts non-negative whole numbers only. It does not round decimals or convert negative numbers.

Answer and working

Long division result

Quotient15

Remainder7

Check: 487 = 32 × 15 + 7

  1. Step 1: bring down 4

    Divide 4 by 32. Write 0 in this quotient place.

    Multiply: 32 × 0 = 0. Subtract to get a remainder of 4.

  2. Step 2: bring down 8

    Divide 48 by 32. Write 1 in this quotient place.

    Multiply: 32 × 1 = 32. Subtract to get a remainder of 16.

  3. Step 3: bring down 7

    Divide 167 by 32. Write 5 in this quotient place.

    Multiply: 32 × 5 = 160. Subtract to get a remainder of 7.

A 0 quotient digit is shown when it is needed to keep the correct place value.

How to use the long division calculator

This tool is for students, families, and teachers who want both an integer division answer and a readable record of the arithmetic. It works with non-negative whole numbers, so the result is always expressed as a whole-number quotient plus a remainder.

Calculate a quotient and remainder

  1. Enter the dividend—the number you want to split.
  2. Enter the divisor—the number you are dividing by.
  3. Select “Show long division steps.”
  4. Read the quotient and remainder, then use the check equation to confirm the result.

Example: 487 divided by 32

For 487 ÷ 32, the answer is 15 remainder 7. The steps first compare 4 with 32, then use 48 to write 1, and finally use 167 to write 5. The check is 32 × 15 + 7 = 487.

Why does a step sometimes write 0?

A zero can be an essential place in the quotient. In 1,005 ÷ 5, the quotient is 201—not 21. The working displays the zero step between 2 and 1 so the place value is clear. Initial zero steps are also shown to make each brought-down digit explicit.

When the divisor is larger

If the dividend is smaller than the divisor, the quotient is 0 and the dividend remains as the remainder. For example, 7 ÷ 12 gives 0 remainder 7. A valid remainder is always at least 0 and smaller than the divisor.

Input rules and common errors

  • Use digits only, without commas, spaces, signs, or decimal points.
  • The dividend may be 0; the divisor must be greater than 0.
  • Each input may contain up to 120 digits.
  • Leading zeros are accepted and removed from the displayed calculation.

If an input is marked, correct that field and calculate again. Your other input stays in place.

Decimals and negative numbers

This version intentionally does not accept them. Decimal long division needs a stated stopping or rounding rule, and signed division needs a clear remainder convention. Convert the problem to non-negative whole numbers before using this page instead of assuming a rounded decimal answer.

Print a worked solution

After calculating, select “Print steps.” Your browser opens its print dialog. Choose a printer or “Save as PDF” if your browser provides it. The form, navigation, guide, and advertising areas are excluded so the answer and working stay readable.

How to verify the result

Multiply the divisor by the quotient, then add the remainder. The calculator prints this identity under every result. It must equal the original dividend. This check verifies the final values; reviewing the numbered cards also shows where each quotient digit came from.