Long Division Calculator

Inputs

Recent calculations

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How it works

Compute the quotient, remainder, and decimal of a division, with step-by-step work.

Enter a dividend and divisor. The calculator performs long division digit by digit, showing each intermediate carry, the integer quotient, and the remainder.

Formula

dividend = quotient × divisor + remainder; decimal = dividend ÷ divisor.

D
Dividend (integer)
d
Divisor (positive integer)

Examples

  • 1234 ÷ 5Dividend 1234 · divisor 5Quotient 246 · remainder 4 · decimal 246.8

Frequently asked questions

Why is the divisor positive?

Long division is taught for non-negative integers and positive divisors; the remainder is then always in [0, divisor).

What is the 'work'?

It shows each digit of the dividend being brought down, the digit placed in the quotient, and the running remainder.

How to read the result

The quotient is how many whole times the divisor fits; the remainder is what is left over; the decimal continues the division.

Limitations

Non-negative dividend and positive divisor only, bounded for step-by-step display.

Source: Standard long-division algorithm over non-negative integers.

Methodology & data

Method
Deterministic formula

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