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