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Explaining long division thru step by step example |
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The divider at this example is 3, and the divided is 822
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A) |
We start long division at the left digit of the divided number (8). Since 8 is bigger then the |
822 |
3 |
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divider number (3), we look for the closest yet smaller or equal number to 8, that divide itself by 3, that number in this case is 6. |
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B) |
We write 6 under the 8 digit |
822 |
3 |
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| 622 | ||||||||||
| 222 | ||||||||||
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C) |
Since 6 divided by 3 equals to 2, we write 2 above the 8 digit. |
822 |
3 |
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| 622 | ||||||||||
| 222 | ||||||||||
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D) |
Now we subtract 6 from 8, and write the results (2) under the number 6 |
822 |
3 |
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| 622 | ||||||||||
| 222 | ||||||||||
| 222 | ||||||||||
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E) |
Now we move down the digit next to 8 (2) to the subtract results line, we got 22 |
822 |
3 |
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| 622 | ||||||||||
| 222 | ||||||||||
| 272 | ||||||||||
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F) |
The closest smaller number to 22 that can be divided by 3 is 21, so we write 21 beneath 22. Since |
822 |
3 |
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21 divided by 3 is 7, we write 7 right next to the 2 above |
622 | |||||||||
| 222 | ||||||||||
| 212 | ||||||||||
| 272 | ||||||||||
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G) |
We subtract 21 from 22, got 1. Now download the next digit (2) just next to the 1 |
822 |
3 |
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Now we got 12 |
622 | |||||||||
| 222 | ||||||||||
| 212 | ||||||||||
| =12 | ||||||||||
| 274 | ||||||||||
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H) |
The closest number that can be divided by 3 to 12, is 12 itself. Since 12 divided by 3 is 4, We |
822 |
3 |
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| do the following: write 12 beneath 12 and subtract (0), write the result 4 right next to 7 above | 622 | |||||||||
| 222 | ||||||||||
| 212 | ||||||||||
| =12 | ||||||||||
| 12 | ||||||||||
| == | ||||||||||
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Since there are no more digits to move down the exercise is done, the results is the number above: 274 |
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