Help Please? PP Question

[feminista]

If n and d are positive integers such that n is a multiple of d, how many positive multiples of d are less than or equal to n?

answer: n/d

How does one arrive at this answer?

Thanks!

[munimM]

let's n=35 & d=7
multiple of d=7 is 7, 14, 21, 28, 35 just 5 multiple & n/d=35/7=5
so answer is n/d

[mlkovach]

another way to think of it...since n is a multiple of d, n=k*d for some positive integer k. so d*(anything less than k) is going to be less than n., i.e., you can have at most "k" d's. since k=n/d, you can have at most "n/d" d's to get a number less than or equal to n.