Find the remainder, without performing actual division when 798 is divided by 11.

Given:

798 is divided by 11.

To do:

We have to find the remainder when 798 is divided by 11.

Solution:

We know that,

A number is divisible by 11 if the difference of the sum of its alternate digits is 0 or divisible by 11.

Here,

In the number 798,

The difference of the sum of its alternate digits is $(7+8)-9=15-9=6$.

Therefore,

When 798 is divided by 11, then the remainder is 6.