How does long division with a remainder work?

Divide each partial dividend, multiply the quotient digit by the divisor, and subtract. Bring down the next digit. The final remainder stays smaller than the divisor.

How can I check the quotient and remainder?

Multiply the quotient by the divisor, then add the remainder. The result must equal the original dividend. The calculator shows this verification.

Can this calculator divide decimals or polynomials?

This calculator accepts nonnegative whole-number dividends and positive whole-number divisors, up to 200 digits each. It does not divide decimals or polynomials.

Long Division Calculator with Steps

Tool workspace

Ready

Your input stays in this browser.

Run the tool when your input is ready.

Input

Add your source and choose the required options.

Dividend

Divisor

Ready for a result

Run the tool to create the result.

Direct answer

What Long Division Calculator with Steps does

Long division splits a whole-number dividend into equal groups determined by the divisor. This calculator shows each quotient digit, multiplication, subtraction, and remainder, using exact integer arithmetic.

Output

What you receive

You receive the quotient, remainder, digit-by-digit steps, and the identity divisor × quotient + remainder = dividend.

Use this tool

How to use the long division calculator

Enter a nonnegative whole-number dividend.
Enter a positive whole-number divisor.
Select Calculate division and inspect the steps.
Check the verification identity before using the result.

Processing

Calculate privately in your browser

This utility processes values locally. It does not send your input to a conversion service.

Worked example

Test Long Division Calculator with Steps with a safe sample

Input: Dividend 1234; divisor 12

Settings: Whole-number division

Expected result

Quotient 102; remainder 10. Check: 12 × 102 + 10 = 1234.

A zero quotient digit matters: after subtracting 12 from 12, bring down 3, then 4.

Limits

Check before you use the result

Each input accepts at most 200 decimal digits.
Decimals, negative inputs, fractions, and polynomial division are not supported.
Leading zero steps can appear when the partial dividend is smaller than the divisor.

Topics

Explore connected categories

Numbers, Units & Calculators