Division Tricks

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).