The answer depends on what you are dividing by 11.
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The quotient of dividing 249 by 21 is 11, with a remainder of 18. Therefore, 21 can go into 249 11 times with a remainder of 18.
In the division problem 467 ÷ 34, the quotient is the result of dividing 467 by 34, which is 13.735294118. The remainder is the amount left over after dividing as much as possible, which in this case is 11. This means that 467 divided by 34 equals 13 with a remainder of 11.
The largest remainder, when dividing by any integer, n is n-1. So, when dividing by 2, the largest remainder is 1.
There are 11 possible remainders (1 to 11). If something is divisible by 12, there is said to be no remainder, but this can be considered to be a remainder of 0, making 12 possible remainders.
If the remainder must be an integer value, then the largest remainder you can have from any equation when dividing by 12 is a remainder of 11. Example: (23 / 12 = 1 R11) 12 goes into 23 one time, and there's 11 left over. If there was more than 11, such as (24 / 12), then the answer would be 2 with no remainder.