Division chart
A division chart lists the division facts in tables, one for each divisor from 1 to 12: 3 ÷ 3 = 1, 6 ÷ 3 = 2, up to 36 ÷ 3 = 12. It is the multiplication chart read backwards, written out for looking up.
Free printable PDF, 3rd grade to 4th grade.
One page, black and white, prints the same every time.
What is on the sheet
The table below is the sheet as it prints with these options: ÷ 1 to ÷ 12.
| ÷ 1 | ÷ 2 | ÷ 3 | ÷ 4 | ÷ 5 | ÷ 6 |
|---|---|---|---|---|---|
| 1 ÷ 1 = 1 | 2 ÷ 2 = 1 | 3 ÷ 3 = 1 | 4 ÷ 4 = 1 | 5 ÷ 5 = 1 | 6 ÷ 6 = 1 |
| 2 ÷ 1 = 2 | 4 ÷ 2 = 2 | 6 ÷ 3 = 2 | 8 ÷ 4 = 2 | 10 ÷ 5 = 2 | 12 ÷ 6 = 2 |
| 3 ÷ 1 = 3 | 6 ÷ 2 = 3 | 9 ÷ 3 = 3 | 12 ÷ 4 = 3 | 15 ÷ 5 = 3 | 18 ÷ 6 = 3 |
| 4 ÷ 1 = 4 | 8 ÷ 2 = 4 | 12 ÷ 3 = 4 | 16 ÷ 4 = 4 | 20 ÷ 5 = 4 | 24 ÷ 6 = 4 |
| 5 ÷ 1 = 5 | 10 ÷ 2 = 5 | 15 ÷ 3 = 5 | 20 ÷ 4 = 5 | 25 ÷ 5 = 5 | 30 ÷ 6 = 5 |
| 6 ÷ 1 = 6 | 12 ÷ 2 = 6 | 18 ÷ 3 = 6 | 24 ÷ 4 = 6 | 30 ÷ 5 = 6 | 36 ÷ 6 = 6 |
| 7 ÷ 1 = 7 | 14 ÷ 2 = 7 | 21 ÷ 3 = 7 | 28 ÷ 4 = 7 | 35 ÷ 5 = 7 | 42 ÷ 6 = 7 |
| 8 ÷ 1 = 8 | 16 ÷ 2 = 8 | 24 ÷ 3 = 8 | 32 ÷ 4 = 8 | 40 ÷ 5 = 8 | 48 ÷ 6 = 8 |
| 9 ÷ 1 = 9 | 18 ÷ 2 = 9 | 27 ÷ 3 = 9 | 36 ÷ 4 = 9 | 45 ÷ 5 = 9 | 54 ÷ 6 = 9 |
| 10 ÷ 1 = 10 | 20 ÷ 2 = 10 | 30 ÷ 3 = 10 | 40 ÷ 4 = 10 | 50 ÷ 5 = 10 | 60 ÷ 6 = 10 |
| 11 ÷ 1 = 11 | 22 ÷ 2 = 11 | 33 ÷ 3 = 11 | 44 ÷ 4 = 11 | 55 ÷ 5 = 11 | 66 ÷ 6 = 11 |
| 12 ÷ 1 = 12 | 24 ÷ 2 = 12 | 36 ÷ 3 = 12 | 48 ÷ 4 = 12 | 60 ÷ 5 = 12 | 72 ÷ 6 = 12 |
| ÷ 7 | ÷ 8 | ÷ 9 | ÷ 10 | ÷ 11 | ÷ 12 |
|---|---|---|---|---|---|
| 7 ÷ 7 = 1 | 8 ÷ 8 = 1 | 9 ÷ 9 = 1 | 10 ÷ 10 = 1 | 11 ÷ 11 = 1 | 12 ÷ 12 = 1 |
| 14 ÷ 7 = 2 | 16 ÷ 8 = 2 | 18 ÷ 9 = 2 | 20 ÷ 10 = 2 | 22 ÷ 11 = 2 | 24 ÷ 12 = 2 |
| 21 ÷ 7 = 3 | 24 ÷ 8 = 3 | 27 ÷ 9 = 3 | 30 ÷ 10 = 3 | 33 ÷ 11 = 3 | 36 ÷ 12 = 3 |
| 28 ÷ 7 = 4 | 32 ÷ 8 = 4 | 36 ÷ 9 = 4 | 40 ÷ 10 = 4 | 44 ÷ 11 = 4 | 48 ÷ 12 = 4 |
| 35 ÷ 7 = 5 | 40 ÷ 8 = 5 | 45 ÷ 9 = 5 | 50 ÷ 10 = 5 | 55 ÷ 11 = 5 | 60 ÷ 12 = 5 |
| 42 ÷ 7 = 6 | 48 ÷ 8 = 6 | 54 ÷ 9 = 6 | 60 ÷ 10 = 6 | 66 ÷ 11 = 6 | 72 ÷ 12 = 6 |
| 49 ÷ 7 = 7 | 56 ÷ 8 = 7 | 63 ÷ 9 = 7 | 70 ÷ 10 = 7 | 77 ÷ 11 = 7 | 84 ÷ 12 = 7 |
| 56 ÷ 7 = 8 | 64 ÷ 8 = 8 | 72 ÷ 9 = 8 | 80 ÷ 10 = 8 | 88 ÷ 11 = 8 | 96 ÷ 12 = 8 |
| 63 ÷ 7 = 9 | 72 ÷ 8 = 9 | 81 ÷ 9 = 9 | 90 ÷ 10 = 9 | 99 ÷ 11 = 9 | 108 ÷ 12 = 9 |
| 70 ÷ 7 = 10 | 80 ÷ 8 = 10 | 90 ÷ 9 = 10 | 100 ÷ 10 = 10 | 110 ÷ 11 = 10 | 120 ÷ 12 = 10 |
| 77 ÷ 7 = 11 | 88 ÷ 8 = 11 | 99 ÷ 9 = 11 | 110 ÷ 10 = 11 | 121 ÷ 11 = 11 | 132 ÷ 12 = 11 |
| 84 ÷ 7 = 12 | 96 ÷ 8 = 12 | 108 ÷ 9 = 12 | 120 ÷ 10 = 12 | 132 ÷ 11 = 12 | 144 ÷ 12 = 12 |
How the tables are laid out
Each column is one divisor. Read down the ÷ 4 column and the dividends climb by four, 4, 8, 12, while the quotients count 1, 2, 3. That is the whole idea of the chart: division is finding how many groups of the divisor fit into the dividend, and the column shows the groups piling up one at a time.
The chart stops at 12 because that is where the multiplication facts stop. Twelve tables of twelve facts is 144 lines, which is why the page is set in two rows of six tables rather than one long list.
Using it in 3rd and 4th grade
Third graders meet division as the inverse of multiplication and spend the year on the facts within 100. A child who knows 6 × 7 = 42 can find 42 ÷ 7 on the chart and see the link, which is the moment most of them stop thinking of division as a new thing. In 4th grade the chart is the reference during long division, when a child needs 56 ÷ 8 while working a larger problem and should not lose the thread hunting for it.
For practice rather than reference, the blank division chart prints the same tables with the quotients left off and the key on page 2.
Common questions
- Why is there no ÷ 0 table?
- Dividing by zero has no answer, so there is nothing to list. The tables run from ÷ 1 to ÷ 12.
- Is a division chart the same as a division table?
- Yes. Some people say table for one divisor's facts (the ÷ 7 table) and chart for the whole set. This page prints all twelve.