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Division

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Division
– an operation of finding one of factors by a product and another factor: 48÷4 = 12. Here  48  is a dividend,  4 – a divisor,  12 – the quotient. At dividing integers a quotient can be not a whole number. Then this quotient can be present as a fraction. If a quotient is a whole number, then it is called that numbers are divisible, i.e. one number is divided without remainder by another. Otherwise, we have a division with remainder. For example, 23 isn’t divided by 4 ; this case can be written as:  23 = 5×4 + 3.  Here 3 is a remainder.

Math tricks 1:

Dividing by grouping

345÷15

=(300÷15)+(45÷15)

=20+3

=23

In example here,separate dividend into two groups:(300÷15)+(45÷15),and add up the answer.

Math tricks 2:

Dividing by augmenting

Example:

418÷11

=(440÷11)-(22÷11)

=40-2

=38

In example here,418 was augmented to 440,that is 418=440-22

Math tricks 3:

Dividing by break apart the divisor

325÷25

=325÷(5×5)

=325÷5÷5

=65÷5

=13

In example here,break 25 to 5 and 5(25=5×5).

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