Need Help on This Tough One

(13314412157)^3 mod 11 = 8

Mod stands for "Modulus". Expand the number inside the bracket: (13314412157)^3 =2,360,293,389,988,491,779,694,252,033,893. Enter this big number into the calculator on this site followed by the "mod" 11, then press the = sign. You should get 8 as the remainder.

I don't offhand see how this helps.

This looks more useful 

(1 3 3 1 4 4 1 2 1 5 7 )3

1+3+4+1+1+7  = 17 

3+1+4+2+5     = 15

17-15=2

So when  13314412157 is divided by 11 the remainder is 2

and

when     (13314412157)^3  is divided by 11 the remainder is 2^3 = 8