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DIVISION
Subject:maths
Topic:division
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.
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.)
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:
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.
Worksheet
Division

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Division

  • 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.