I think you need to perhaps revise your wording.
This just sounds like division to me. I'm not sure how you would go about proving division.If A is divisible by B, the the quotient (a/b) is the number of mutiples of B from 1 to A.
I need to prove this:
If A is divisible by B, the the quotient (a/b) is the number of mutiples of B from 1 to A.
ex:
10/5= 2, therefore 10 has 2 multiples of 5.
I don't know what theorem's to use or how to start it. Can anyone help? Thanks a lot!
Can you just rewrite as , and so a is b multiplied X times, i.e., X multiples of B?
Since you're dealing with division but want to think about it in terms of multiplication, change your division problem into multiplication, as above.
However, all of this is just a different way of describing division - I wouldn't call this a proof, rather just looking at division from a different angle.