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

I am going to add a more practical example to what "Jean-Bernard Pellerin" already said.

It is correct that if you divide 1 by 4 you get 0 but, Why when you do 1 % 4 you have 1 as result?

Basically it is because this:

n = a / b (integer), and
m = a % b = a - ( b * n )

So,

 a    b    n = a/b  b * n  m = a%b
 1    4      0        0      1    
 2    4      0        0      2
 3    4      0        0      3
 4    4      1        0      0
 5    4      1        4      1

Conclusion: While a < b, the result of a % b will be "a"