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Remainder Calculator
Find the remainder and quotient of a division.
Remainder
—
a mod b.
| Quotient | — |
|---|---|
| Dividend | — |
| Divisor | — |
| Divides evenly? | — |
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How the Remainder Calculator Works
The remainder is what’s left over after dividing one whole number by another. 17 divided by 5 is 3 with a remainder of 2, because 5 goes into 17 three times (15) leaving 2. In programming this is the modulo operation, written 17 mod 5 = 2.
Remainders tell you whether one number divides evenly into another (a remainder of 0 means yes) and are the basis for finding even/odd numbers, cycles and clock arithmetic.
remainder = dividend − (quotient × divisor)
Frequently Asked Questions
What is a remainder?
What’s left after dividing whole numbers. 17 ÷ 5 leaves a remainder of 2.
What is the modulo operation?
It returns the remainder of a division. 17 mod 5 = 2. It’s widely used in programming.
How do I know if a number divides evenly?
If the remainder is 0, it divides evenly — otherwise it doesn’t.
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