How do you write down the remainder when 998 is divided by 37?

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How do you write down the remainder when 998 is divided by 37?

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Answer 1 · 2016-12-26T03:27:43

Remainder is $36$

Explanation:

We do the long division for dividing $998$ by $37$

$color(white)(Xxxxxx)2 color(white)(X)6$
$color(white)(xx) 37| bar(9color(white)(x)9color(white)(x)8$
$color(white)(xxxxx)ul(7color(white)("x)4)color(red)(darr$
$color(white)(xxxxx)2color(white)(x)5 color(white)(x) "8"$
$color(white)(xxxxx)ul(2color(white)(x)2color(white)(x)2)$
$color(white)(xxxxxxx)3color(white)(x)6$

and hence

we get a remainder of $36$ when we divide $998$ by $37$ .

We can also write it as $998=37xx26+36$

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How do you write down the remainder when 998 is divided by 37?

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