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How do I find quotient plus remainder over divisor

Sagot :

Let me solve an example for you.

Given the expression;

[tex]\frac{37}{5}[/tex]

we want to simplify the expression into quotient and remainder;

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

And;

[tex]37=35+2[/tex]

So;

[tex]\begin{gathered} \frac{37}{5}=\frac{35+2}{5} \\ =\frac{35}{5}+\frac{2}{5} \\ =7+\frac{2}{5} \end{gathered}[/tex]

Therefore;

The quotient is 7

The remainder is 2

The divisor is 5.

I hope that helps.s 7