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

1 Answer
Dec 26, 2016

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#