A number gives a remainder of $$5$$ when divided by $$7$$, a remainder of $$6$$ when divided by $$8$$, and a remainder of $$6$$ when divided by $$10$$. If the sum of the quotients of the number dividing $$6$$, dividing $$7$$ and dividing $$8$$ is $265$, what is the number? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems