Remainder Calculator

Written by:
PK

Need to find the leftover after division? This remainder calculator shows you the quotient and remainder when dividing two integers.

Remainder Calculator

Using the remainder calculator

Enter the Dividend (the number being divided) and the Divisor (what you're dividing by). The calculator instantly shows the quotient and remainder.

What is a remainder?

When you divide integers, the remainder is what's left over after taking out as many complete groups as possible. The relationship is:

\text{dividend} = \text{divisor} \times \text{quotient} + \text{remainder}

Where the remainder is always less than the divisor (and has the same sign as the dividend).

Example: 17 divided by 5

Dividing 17 by 5:

17 = 5 \times 3 + 2

The quotient is 3 (five goes into 17 three times) and the remainder is 2.

Remainder vs. modulo

The remainder and modulo operations give the same result for positive numbers, but differ for negatives. This calculator uses the remainder (truncated division), which matches how most calculators work. For modulo operations, see the modulo calculator.

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PK

PK started DQYDJ in 2009 to research and discuss finance and investing and help answer financial questions. He's expanded DQYDJ to build visualizations, calculators, and interactive tools.

PK lives in New Hampshire with his wife, kids, and dog.

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