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How do I find quotient plus remainder over divisor

User Jaswanth
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1 Answer

13 votes
13 votes

Let me solve an example for you.

Given the expression;


(37)/(5)

we want to simplify the expression into quotient and remainder;

37 is not divisible by 5, but 35 is divisible by 5.

And;


37=35+2

So;


\begin{gathered} (37)/(5)=(35+2)/(5) \\ =(35)/(5)+(2)/(5) \\ =7+(2)/(5) \end{gathered}

Therefore;

The quotient is 7

The remainder is 2

The divisor is 5.

I hope that helps.s 7

User Dgeorgiev
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3.2k points