Modulus division when first number is smaller than second number

Question

I apologize if this is a simple question but I\'m having trouble grasping the concept of modulus division when the first number is smaller than the second number. For exampl

Answer 1

Another nice method to clear things up, In modulus, if the first number is > the second number, subtract the second number from the first until the first number is less than the second.

17 % 5 = ?
17 - 5 = 12
12 % 5 = ?
12 - 5 = 7
7 % 5 = ?
7 - 5 = 2
2 % 5  = 2

Therefore 17 % 5, 12 % 5, 7 % 5 all give the answer of 2. This is because 2 / 5 = 0 (when working with integers) with 2 as a remainder.