“Remainder when Divide by 11”: Can I solve this by using 2 as positive integer x divided by 11?

Question

Can I solve this by using 2 as positive integer x divided by 11?

Answer

This is pretty tricky—if we have 2 divided by 11, the remainder is actually 2. The remainder is 2 because the quotient is 0 (11 goes into 2 zero times). The "remainder" is what's left after you multiply the 0 by 11 and subtract from 2.

Basically, just like 14/3:

quotient = 4

remainder = 14 - (4 x 3) = 2

2/11:

quotient = 0

remainder = 2 - (0 x 11) = 2

This pattern is the same for any x < 11 (the remainder will just be equal to x). So the remainder will always be smaller than the divisor.

Link

http://gre.magoosh.com/questions/218