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Long Division Calculator with Remainders

This long division calculator works through the division the way you would on paper: divide, multiply, subtract, then bring down the next digit. It gives the quotient and remainder, the decimal answer, and checks the result by multiplying back.

Result

Enter values and press Calculate to see the result.

Formula

dividend=quotient×divisor+remainder\text{dividend} = \text{quotient} \times \text{divisor} + \text{remainder}

The remainder is always smaller than the divisor. Use this to check any division.

How to use this calculator

  1. Enter the dividend (the number being divided) and the divisor, both whole numbers.
  2. Press Calculate to see each step: how many times the divisor goes in, the subtraction, and the next digit brought down.
  3. Read the quotient and remainder, and the decimal answer underneath.

Worked examples

1572 ÷ 7

7 does not go into 1, so start with 15: 7 goes in 2 times (14), remainder 1.

Bring down 7 to make 17: 7 goes in 2 times (14), remainder 3.

Bring down 2 to make 32: 7 goes in 4 times (28), remainder 4.

So 1572 ÷ 7 = 224 remainder 4. Check: 224 × 7 + 4 = 1572.

945 ÷ 15 (no remainder)

15 goes into 94 six times (90), remainder 4.

Bring down 5 to make 45: 15 goes in 3 times, remainder 0. The answer is 63.

5 ÷ 8 (divisor bigger than the dividend)

8 goes into 5 zero times, so the quotient is 0 remainder 5, or 0.625 as a decimal.

Common mistakes

  • Forgetting a zero in the quotient when the divisor does not go into a part (e.g. 618 ÷ 6 = 103, not 13).
  • A remainder bigger than the divisor: it means the divisor goes in one more time.
  • Bringing down two digits at once instead of one at a time.

Frequently asked questions

How do you do long division step by step?

Divide the first part of the dividend by the divisor, multiply, subtract, then bring down the next digit and repeat until no digits are left. What is left at the end is the remainder.

How do I check a long division answer?

Multiply the quotient by the divisor and add the remainder. You should get the dividend back: 224 × 7 + 4 = 1572.

How do I write the remainder as a decimal or fraction?

Put the remainder over the divisor: 1572 ÷ 7 = 224 4/7. As a decimal that is about 224.571429.