Simply divide to answer this question:

remainder .

The maximum number of times can go into is , and you have left over.

To put it another way, . If you subtract from , you are left with , so that's your remainder.

So, we have blankets, and sleep over attendees.

can go into a maxiumum of times without going over, so each attendee gets blankets.

, , so there are blankets left over.

We divide the top by the bottom.

Test how many times 10 fits into 32 (try 3 times).

We subtract 30 from 32:

10 cannot fit into 2 so the remainder is 2.

The correct answer is 2 remaining toys. Kevin has 34 toys to start and he keeps 4 for himself. This means that he has 30 toys to give to four friends.

When we divide 30 by 4, we get 7.5. Since each friend cannot get half a toy, each friend can receive 7 toys.

This means that of the 30 toys, there will be 2 toys remaining.

When you are dealing with negative numbers, the following rules apply.

If there are no negative signs, the answer is positive.

If there is one negative sign, the answer is negative.

If there are two negative signs, the answer is positive.

, and since there is only one negative sign the answer is negative. is the solution.

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

You can also consider the problem as asking for six less than negative four. This will also get you to the answer of .

is not evenly divisible by . As such, you want to first find out how many whole 's can go into .

, so is too many.

, which is as close to as you can get.

, so that's your remainder.