2. DIVISION
We have already learned division by repeated subtraction, equal
sharing/distribution and by short division method. Now, we will read some
facts about division to learn long division.
1. If the dividend is ‘zero’ then any number as a divisor will give the quotient
as ‘zero’. Example: If ‘zero’ sweets are to be distributed among 8 children,
naturally no one will get any sweets.
2. If the divisor is ‘1’ then any dividend will have the quotient equal to itself.
3. Example: There are 15 sweets; each child is to get
1 sweet. How many children get the sweets?
3. The product of the divisor and the quotient added to the
remainder is always equal to the dividend.
(Divisor × Quotient) + Remainder = Dividend.
(d × q) + r = D
Note: Always find the product first and then add the remainder.
(This helps us to check whether the division is done correct or
not.)
4. Example: Divide 23 by 7
Checking:
(d × q) + r = D
(7 × 3) + 2 = 23
21 + 2 = 23
23 = 23
So, the division is correct.
4. In a division sum the remainder is always smaller than the
divisor.
Example:
In the last example clearly we can see that the remainder (2) is
less than the divisor (7).
5. Every divisor fact has two multiplication facts to
verify it.
Example:
In division, 12 ÷ 6 = 2, two multiplication facts
are 2 × 6 = 12 and 6 × 2 = 12.
6. The quotient and the divisor are always the
factors of the dividend, if there is no remainder.
Example:
D
18
3 ÷
×
d
3
6 =
=
q
6
18
The quotient and the divisor are always the factors
of the dividend, if there is no remainder.
Example:
5. Let us have a quick review of what we have learnt
about division. Division is splitting into equal parts
or groups. It is the result of “fair sharing”.
If 5 friends want to share 15 chocolates. How
many chocolates will each of them get? Let us
divide the chocolates equally amongst them.