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The **division** is a **mathematical operation**, of elementary **Arithmetic**, inverse of the multiplication and can also be considered as a repeated subtraction.

It consists of finding out how many times a number (36) contains to another number (9). Its representation is :

The first number (36) is called

In order to verify that the division is well done, we multiply the

If the division is not exact, that is to say, the dividend does not contain an exact number of times to the divider, the operation will have a

To divide two numbers we placed to the left the dividend and in the same line, leaving a space, the divider within which we call "box of the division.".

Later we will be making successive partial divisions that we will place, gradually, underneath the dividend.

2 | 5 | 6 | 7 | 2 | 9 | 8 | 3 | 4 | |||||

- | 2 | 3 | 8 | 7 | 5 | 5 | 0 | 8 | |||||

0 | 1 | 8 | 7 | ||||||||||

- | 1 | 7 | 0 | ||||||||||

0 | 1 | 7 | 2 | ||||||||||

- | 1 | 7 | 0 | ||||||||||

0 | 2 | 9 | 8 | ||||||||||

- | 2 | 7 | 2 | ||||||||||

2 | 6 |

- The first partial division is
**256 : 34**(we have taken 256 because 25 is less than 34). Now we divide**25 : 3 = 8**, but as when multiplying 8 by 34 it gives us 272, that is greater than 256, we subtract a unit to 8 and we have**7, that is the first digit of the quotient**. We multiply**7 x 34 = 238**and we placed it under the partial dividend, to subtract,**256 - 238 = 18**and this is the first partial remainder. - To the right of this remainder, we placed "down" the next digit (7) and we make the second partial division
**187 : 34**. We divide**18 : 3 = 6**, but as when multiplying 6 by 34 it gives us 204, that is greater than 187, we subtract a unit to 6 and we have**5, the second digit of the quotient**. We multiply**5 x 34 = 170**and we placed it under the partial dividend to subtract,**187 - 170 = 17**and this is the second partial remainder. - To the right of this remainder we placed "down" the next digit (2) and we make the third partial division
**172 : 34**. We divide**17 : 3 = 5**, as when multiplying 5 by 34 it gives us 170, that is less than 172 then**5 is the third digit of the quotient**. We multiply**5 x 34 = 170**and we placed it under the partial dividend to subtract,**172 - 170 = 2**and this is the third partial remainder. - To the right of this remainder we placed "down" the next digit (9), but we cannot divide 29 between 34 (because it is smaller), then put a "zero to the quotient" (
**0 the fourth digit of the quotient**) and "down the next digit" (8). Now we can make the fourth partial division**298 : 34**. We divide**29 : 3 = 9**, but as when multiplying 9 by 34 it gives us 306 that is greater than 298, we subtract a unit to 9 and we have**8, that is the fifth digit of the quotient**. We multiply**8 x 34 = 272**and we placed it under the partial dividend to subtract,**298 - 272 = 26**and as no longer they are more digits of the dividend, we have finished the division, being**26 the rest**of the same, that**always**must be smaller than the divider.

The games in the menu will help you to practice divisions.