What is the remainder when 2003 is divided by 11?
I know that a quick way to check if a number is divisible by 11 is to alternate the signs of its digits and see if the result is divisible by 11. For example, 187 is divisible by 11 because 7 - 8 + 1 = 0, which is divisible by 11. I start from the rightmost digit and alternate the signs: 3 - 0 + 0 - 2. This gives me 1. This means that 2003 is not divisible by 11, and the remainder is 1. 