Let's solve a division problem with remainders using this example:

division problem


We know that 10 is the first lesser (smaller) number and 88 is the greater (larger) number. The number 88 is not a greater number for any tens fact. What is the closest number we can get with a tens fact?

division problem

Our closest number with a tens fact is 80. In this division number family, what is the missing lesser number? It's 8.

division problem


Now let's go back to our problem and write the number family like this:

division problem

 

We write 8 over the ones digit of 88, with the 80 below. To find out how many we have left over, let's subtract.

division problem

Now, 88 minus 80 equals 8 (88 - 80 = 8). Let's write R for "remainder" and the number we figured for the remainder beside the quotient, or answer.

division problem


Here's another problem:

division problem

Our greater number, 25, is not a greater number for any fours fact. What is the closest number we can get with a fours fact?

division problem

Our closest number is 24. Our first lesser number is 4. What is the other lesser number?

division problem

It's 6. Now let's write the division number family this way:

division problem

We have 6 over the ones digit of 25, with 24 below. To find out how many we have left over, we subtract.

division problem

After subtracting 24 from 25, we get our answer, which is 1 (25 - 24 = 1). Now we write R for "remainder" and the number we figured for the remainder beside our quotient, or final answer.

division problem­