How Does Modulus Divison Work

Question

I don\'t really understand how modulus division works. I was calculating 27 % 16 and wound up with 11 and I don\'t understand why.

I can\'t

Answer 1

27 % 16 = 11

You can interpret it this way:

16 goes 1 time into 27 before passing it.

16 * 2 = 32.

So you could say that 16 goes one time in 27 with a remainder of 11.

In fact,

16 + 11 = 27

An other exemple:

20 % 3 = 2

Well 3 goes 6 times into 20 before passing it.

3 * 6 = 18

To add-up to 20 we need 2 so the remainder of the modulus expression is 2.