Without performing actual division, find the remainder when 928174653 is divided by 11.

We know that if a number is divided by 11, then remainder is difference between sum of even and odd digit places.


Remainder = 9 + 8 + 7 + 6 + 3 2 1 4 - 5 = 33 12 = 21


21 ÷ 11 gives 10 as remainder


remainder will be 10 when 928174653 is divided by 11


11