Numbers Divisible by 11

How do we know a number is divisible by 11? This one is a little bit tricky. We can tell whether a number is divisible by 11 or not by the following rule.

If the sum of the digits at even places subtract the sum of the digits at odd places is equal to 0 or divisible by 11, then the number is divisible by 11.

For example,
Is 725364 divisible by 11?

The sum of the digits at even places:
7 + 5 + 6 = 18

The sum of the digits at odd places:
2 + 3 + 4 = 9

18 - 9 = 9    (Not divisible by 11)

Therefore, 725364 is not divisible by 11

Let's see another example:
Is 4758237 a multiple of 11?

The sum of the digits at even places:
7 + 8 + 3 = 18

The sum of the digits at odd places:
4 + 5 + 2 + 7 = 18

18 - 18 = 0

Therefore, 4758237 is a multiple of 11