Number property query: the remainder of a proper fraction

[bigmikefr]

I am dealing with an advanced DS problem and I am getting the question wrong because I cannot understand why the remainder of 4/5 and 4/6 is 4 for both and not 0 and 2, respectively. Can someone please break this down to me?

Thank you

[fiercepoint]

If you divide by a larger number the quotient will always be zero and the remainder will equal the dividend. Dividing 4 by 5 the quotient is 0 because 5 goes into 4 zero times and you have 4 left over so that is the remainder. If it was 14 divided by 5, then the quotient would be 2 because 5 goes into 14 two times and you would have 4 left over so again 4 would be the remainder.

[bigmikefr]

Got it! Thank you fiercepoint