Question

Explain why you can use subtraction to solve a division problem.

Answer 1

Modular Arithmetic
a is congruent to bmod (n)
Note that b is remainder after a goes into n
since n|a-b
consider 5z={0,1,2,3,4}
12=2mod5 since 5|12-2 => 5|10 => 2 which is remainder of 5 into 12 two times