Question

Find the quotient and the remainder when each of the following number is divided by 13:

8,31, 44, 85, 1220, 2011.

Answer 1

8 = 13 × 0 + 8

Quotient = 0 and remainder = 8

31 = 13 × 2 + 5

Quotient = 2 and remainder = 5

44 = 13 × 3 + 5

Quotient = 3 and remainder = 5

85 = 13 × 6 + 7

Quotient = 6 and remainder = 7

1220 = 13 × 93 + 11

Quotient = 93 and remainder = 11

2011 = 13 × 154 + 9

Quotient = 154 and remainder = 9