Simon wrote a modulus counting program in Processing after we were discussing why
1 % 2 = 1 and why 2 % 4 = 2. He basically told me he simply knew 1 % 60 equals 1, but he didn’t know why. We realized later that the strange result comes from the fact that if a number (the divisor) fits into another number (the numerator) zero times then, in modulus counting, that numerator becomes the excess.
Geeks out of the box 