Question

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

Answer 1

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`