Understanding the result of modulo operator

Question

Just trying to understand how the %% operator works in R:

Answer 1

This equation can be used to calculate the modulo operation:

A percentage of b equals b - floor(a / b)*a

The amount of times you can divide a by b is shown by floor(a / b).

The amount that was successfully shared in full was floor(a / b)*b.

The remainder of the division is equal to the sum (a) less what was shared.

Using the previous illustration, this results in:

5 percent 7 is 5 minus floor(5 / 7) * 7 = 5.