Math

Remainder Calculator

Find the remainder when one number is divided by another.

Calculated Output

Remainder 2

Whole quotient 14

Formula: remainder = dividend − divisor × ⌊dividend ÷ divisor⌋

Step-by-Step Breakdown

1. Values used:

2. Dividend = 100

3. Divisor = 7

5. Remainder = 2

6. Whole quotient = 14

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The math behind it

Divide and keep only the leftover: remainder = dividend − divisor × quotient.

100 ÷ 7 = 14 remainder 2.

Is remainder the same as modulo?

For positive numbers, yes. They can differ in sign convention for negatives.