Learning addition, subtraction, and even multiplication for a child is somewhat natural. Division on the other hand is the least natural arithmetic operation to learn. So learning to divide numbers between 1 and 12 may painfully frustrating for a child. Once the child learns multiplication, division becomes natural and easy to learn.

**Why is learning division so much easier after learning multiplication?** There are three reasons:

- The division table is the same as a multiplication table;
- The difference between a division and a multiplication table is how to interpret it;
- The division is the reciprocal of multiplication.

Let us look at a multiplication example and later explore the relationship to division. Using a multiplication table, multiply three times five and get an answer fifteen: 3 x 5 = 15. Row three and column five of a multiplication table intersect at fifteen; fifteen is the answer. What is the relationship of division to multiplication? To show the relationship, use the same multiplication table for division.

Let us look at a division example using a multiplication table. What is fifteen divided by three? If we look at this as a multiplication problem instead of division, it becomes easier. What number multiplied by three equals fifteen? We know from using a multiplication table that three multiplied by five is fifteen. That means fifteen divided three is five. From this example, we see that a multiplication table has the same format as a division table but used differently. After solving a division problem, check the answer by multiplication. After learning multiplication and understanding the relationship between multiplication and division, division will be easier and more intuitive to learn.

**Where do we begin learning division?**

- First, get familiar with the table.
- Start with division by one. Find the number one in the table. Divide by row number one. The answer is column number one.
- Repeat these steps for division by one. Divide row one by columns one through twelve.
- Repeat these steps for division by two. Divide row two by columns one through twelve.
- Repeat these steps for division by three. Divide row three by columns one through twelve.
- If you are comfortable with division so far, try a test. Solve the following division problems in your head and then compare your answers to the division table: four divided by two, fifteen divided by five, twenty-seven divided by three, sixteen divided two, and ten divided by 1. The problem answers are 2 , 3, 9, 8, and 10 respectively.

If you get four out of five problems correct, you are ready to start learn the entire division table.

[