Question

Whats the remainder of 29107÷37?

Answer 1

When you divide the expression given you will obtain:
29107÷37
=29107/37
=786+25/37
=786 25/37
thus the remainder is 25

Answer 2

We have to find the remainder of $\frac{29107}{37}$.

Now, 29017 can be written as

$29107-800*37+800*37=29107-29600+800*37\\ =-493+800*37\\ =-493+(800-13+13)*37\\ =-493+(787+13)*37\\ =-493+13*37+787*37\\ =-493+481+787*37\\ =-12+787*37\\ =-12+37+786*37\\ =786*37+25$

Thus 29107=786*37+25.

The remainder when 29107 is divided by 37 is $25$.