Remainder Calculator

Q: What is a remainder?

A remainder is the amount left over when one number cannot be divided exactly by another. For example, 17 ÷ 5 = 3 with remainder 2.

Q: Can a remainder be negative?

In standard mathematics, the remainder is always non-negative and less than the divisor. Some definitions allow negative remainders, but this calculator uses the modulo operator which follows the sign of the dividend.

Use our free remainder calculator to find the remainder of a division. Enter a dividend and divisor to get the quotient and remainder.

Math

Dividend

Divisor

Formula

The remainder is what is left over after dividing one integer by another. If a ÷ b = q remainder r, then a = b×q + r, where 0 ≤ r < b.

Remainder = A % B

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter the dividend (the number being divided).
2Enter the divisor (the number dividing).
3Click Calculate to get the quotient and remainder.
4The remainder is the amount left over after integer division.

Examples

Remainder of 17 ÷ 5

1.Enter 17 as the dividend.
2.Enter 5 as the divisor.
3.17 ÷ 5 = 3 remainder 2.
4.Verification: 5 × 3 + 2 = 17.

Result: 2

Frequently Asked Questions

A remainder is the amount left over when one number cannot be divided exactly by another. For example, 17 ÷ 5 = 3 with remainder 2.

In standard mathematics, the remainder is always non-negative and less than the divisor. Some definitions allow negative remainders, but this calculator uses the modulo operator which follows the sign of the dividend.

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CalculateMe Team

Last updated: 2026-07-13