Modulo operation

Find the floating point remainder (modulo) of the division.

What does modulo operation do?

The modulo operation it's a way to determine the remainder of a division operation. Modulo operation returns the whole number remainder instead of just returning the result of the division.

How do you calculate mod?

  1. Choose the initial number (dividend)
  2. Choose the divisor
  3. Divide one number by the other and drop the number after the dot (fractional part)
  4. Multiply the divisor by the result after previous division
  5. Subtract this number from initial number and result of it's result of the modulo operation

Here is example:

  • Initial number - 25
  • Divisor - 7
  • 25 / 7 = 3.5714
  • 7 * 3 = 21
  • 25 - 21 = 4

So, result of 25 mod 7 operation is equal to 4.

Modulo operation table

Let's take 10 as dividend.

  • 10 mod 1 = 0

  • 10 mod 2 = 0

  • 10 mod 3 = 1

  • 10 mod 4 = 2

  • 10 mod 5 = 0

  • 10 mod 6 = 4

  • 10 mod 7 = 3

  • 10 mod 8 = 2

  • 10 mod 9 = 1

  • 10 mod 10 = 0