CONCEPT & RULES OF DIVISION
DIVISION – Division is repeated subtraction of the same number from a big number through a simple way with an investment of minimum time. The sign of division is ‘ ÷ ’ .
Division mean equal sharing or grouping between same or different group.
The number which is to be divided will be called ‘DIVIDEND’
The number which divides the ‘Dividend’ is called ‘DIVISOR’
The answer of Division is called ‘QUOTIENT’
DIVISOR ) DIVIDEND ( QUOTIENT OR
DIVIDEND
------------- = QUOTIENT
DIVISOR
IMPORTANT THINGS TO BE REMEMBERED -
1. If the Dividend is ‘zero’ then any number as a Divisor will give ‘Zero’ as Quotient.
If ‘Zero’ apple is distributed in 4 students then no one will receive an apple.
2. If the divisor is 1 (One), then the value of Quotient is the same as Dividend itself.
3. DIVISOR ) DIVIDEND ( QUOTIENT
-------------
REMAINDER
In the above equation we can describe as DIVIDEND (D) = {QUOTIENT (q) X DIVISOR (d)} + REMAINDER (r)
(In the above equation always find the product of ‘Quotient’ & ‘Divisor’ first then add ‘Remainder’)
4. In a division, ‘Remainder’ is always smaller than ‘Divisor’.
5. In every Division fact, there is always a dual multiplication factor. That’s mean for an example if we would like to divide 30 by 5, then the quotient is 6
30 ÷ 5 = 6 ; and it’s multiplication factor can be described by both way, 5 X 6 =30 & 6 X 5 = 30.
Another factor is that, for any division, if we consider 30 ÷ 5 = 6, quotient is 6. If we divide ‘Dividend’ 30 by ‘quotient’ 6, then ‘Divisor’ 5 will be considered as ‘Quotient’.
30 ÷ 6 = 5,
So, it is clearly shown that, the divisional factor in different way like - 30 ÷ 5 = 6 and 30 ÷ 6 = 5
Satisfy both the multiplication factor 5 x 6 = 30 and 6 x 5 = 30 , that’s mean above divisional factor justify both the table 5 & 6.
6. ‘Dividend’ is always the product of multiplication of ‘Divisor’ and ‘Quotient’ if there is no ‘Remainder’.
If there is ‘Remainder’, then the equation should be ‘Dividend’ = (‘Divisor’ X ‘Quotient’) + ‘Remainder’.
7. The ‘Quotient’ and ‘Divisor’ is are always the factors of the ‘Dividend’, if there is no ‘Remainder’.
If there is ‘Remainder’, then the equation should be (‘Divisor’ X ‘Quotient’) + ‘Remainder’=‘Dividend’.