Facts about 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
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
(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
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
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.
7. The dividend is always a multiple of the quotient and
divisor, if there is no remainder.
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
15 divided by 5 is 3. They get 3 each.
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