# Division

Division is that mathematical operation by means of which we try to decompose a number, which we will call a dividend, into as many parts as another number indicates, which we will call a divisor.

Let's imagine that we have the following division:

72รท9=8

This means that the number 72 is equal to 8 times the number 9 (or 9 times the number 8). Also that the number 72 can be decomposed into 9 parts of 8 units each, or 8 parts of 9 units each.

## Division symbol

As we observed in the previous paragraph, the division operation is usually indicated by a symbol that we call the obelo (÷). However, you can also use a colon (:), or a forward slash (/). We can also use a horizontal bar (-) to represent a division.

The latter is the case in the following example:

Division is one of the four basic operations of arithmetic, this being the opposite operation to multiplication. The latter consists of adding a number by itself, a specified number of times.

Thus, all division can be expressed as a multiplication. For example, if I have the following division: 36 ÷ 4 = 9, this means that a multiplication can also be expressed as follows: 36 = 9 × 4.

We must bear in mind, however, that the division of two whole numbers, unlike the multiplication of two whole numbers, does not always result in another whole number. This is the case of, for example, the result of dividing 18 by 7, where the result would be 2.5714. Or it can also be said that the result is 2, with a remainder of 4, because 18 is equal to (7 × 2) +4.

## Division terms

Division consists of decomposing a number, which we will call a dividend, into as many parts as another number indicates, which we will call a divisor. The result is called the quotient.

That is, if we have that 108 between 12 is equal to 9, 108 is the dividend, 12 is the divisor and 9 is the quotient.

## Division properties

The main properties of the division are as follows:

• Non-commutative property: This means that, unlike what happens in multiplication, the order of the factors does alter the product. That is, 54 by 9 does not generate the same quotient as if we divided 9 by 54.
• Divide by one: Any number divided by one results in the same number.
• Division of zero: Zero, divided by any number, always equals zero.
• Equivalent fractions: If a ÷ b = c ÷ d, then it will also be true that a × d = c × b.

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