Long Division Calculator Guide: Steps, Quotients and Remainders

Long division is a step-by-step method for dividing numbers, especially when the calculation is too large to do mentally. A long division calculator can help you check quotients and remainders while you learn the method.

How to use a long division calculator

1. Open the Long Division Calculator.
2. Enter the dividend, the number being divided.
3. Enter the divisor, the number you divide by.
4. Calculate and review the quotient and any remainder.
5. Verify the answer by multiplying the divisor by the quotient and adding the remainder.

The divisor must not be zero.

Long division vocabulary

The dividend is the number being divided. The divisor is the number you divide by. The quotient is the result, and the remainder is what is left when the dividend is not evenly divisible by the divisor.

Step-by-step example: 847 ÷ 7

1. 7 goes into 8 once. Write 1 in the quotient and subtract 7 from 8, leaving 1.
2. Bring down the next digit, 4, to make 14.
3. 7 goes into 14 twice. Write 2 and subtract 14, leaving 0.
4. Bring down the final digit, 7.
5. 7 goes into 7 once. Write 1 and subtract 7, leaving 0.

The answer is 121, because 7 × 121 = 847.

Example with a remainder: 125 ÷ 8

8 goes into 12 once, leaving 4. Bring down 5 to make 45. 8 goes into 45 five times, leaving 5. The result is 15 remainder 5, often written 15 R5. Check: 8 × 15 + 5 = 125.

How to convert a remainder into a decimal

For 125 ÷ 8, the remainder is 5. Express it as 5/8 = 0.625. Therefore, 125 ÷ 8 = 15.625. In decimal long division, append zeros after the decimal point and continue dividing until the remainder becomes zero or the desired precision is reached.

Long division examples

Problem	Quotient	Remainder
96 ÷ 4	24	0
100 ÷ 9	11	1
235 ÷ 5	47	0
250 ÷ 6	41	4

How to check your answer

For division with whole-number quotient and remainder, use Dividend = Divisor × Quotient + Remainder. For a positive divisor, the remainder must be at least zero and smaller than the divisor.

Common mistakes

• Forgetting to bring down the next digit.
• Placing a quotient digit in the wrong column.
• Skipping a zero in the quotient.
• Leaving a remainder that is as large as or larger than the divisor.
• Attempting to divide by zero.

Frequently asked questions

What is the remainder of 100 divided by 9?

1, because 9 × 11 = 99.

What does a remainder of zero mean?

The dividend is exactly divisible by the divisor.

Can long division produce decimals?

Yes. You can continue beyond the decimal point by adding zeros as needed.

How do I verify a quotient?

Multiply the divisor by the quotient, then add the remainder. The result should equal the dividend.

Use the Long Division Calculator to check your division problems.