Long Division Calculator

Use this long division calculator to divide positive whole numbers and see the quotient, remainder, decimal check, and step-by-step work. It is helpful for checking arithmetic, teaching the standard algorithm, and finding where a hand calculation went wrong.

How to use this calculator

Enter the Dividend, which is the number being divided, and the Divisor, which is the number to divide by. Both must be positive whole numbers. The calculator displays the Quotient, Remainder, a decimal check, and each divide, multiply, subtract, bring-down step.

How it works

Long division repeats the same cycle: divide the current part, multiply by the divisor, subtract, then bring down the next digit. The quotient records each digit found along the way.

For example, 12345 ÷ 37 gives quotient 333 with remainder 24, because 37 × 333 = 12321 and 12345 − 12321 = 24. The decimal check is about 333.648649.

When to use quotient with remainder

A remainder answer is best when counting whole items, such as boxes, seats, or groups. A decimal is better for measurements, rates, or averages. For related arithmetic, see the fraction calculator, percentage calculator, and weighted average calculator.

Common mistakes

Reversing dividend and divisor.
Dropping a zero in the quotient.
Stopping before the final remainder is checked.

Frequently asked questions

What inputs does the long division calculator use?

Enter a positive whole-number dividend and a positive whole-number divisor. The calculator returns the quotient, remainder, decimal check, and steps.

What is a dividend?

The dividend is the number being divided. In 12345 divided by 37, 12345 is the dividend.

What is a divisor?

The divisor is the number you divide by. In 12345 divided by 37, 37 is the divisor.

What does remainder mean?

The remainder is the amount left after making as many whole groups as possible.