There, we studied problems on
long division by a single digit number.
Here, we extend that study by solving
Long Division of a Five digit number
by a single digit number. We also
introduce long division by two digit
numbers.
Example 1 on Learning Long Division
Divide 79865 by 8.
Solution to Example 1 on Learning Long Division :
Step1 : Here first digit of dividend is 7 which is less than the divisor 8. So we see the first two digits of the dividend which is 79. We find how many times 8 divides 79. We know 9 x 8 = 72. We put 9 in the right bracket and 72 below 79 of the dividend. 72 subtracted from 79 gives 7.
Dividend
Divisor 8 ) 79865 ( 9
72
-----
7
Step2:Learning Long Division We descend the next digit of the dividend, 8 to the right of 7 to make it 78. We know 8 divides 78, nine times. 9 x 8 = 72. We write 9 in the right bracket after 9 and 72 below 78. 72 subtracted from 78 gives 6.
Step3:Learning Long Division
We descend the next digit of the
dividend, 6 to the right of 6 to
make it 66. We know 8 divides 66,
eight times. 8 x 8 = 64.
(Note that 9 x 8 = 72 exceeds 66.)
We write 8 in the right bracket
after 99 and 64 below 66.
64 subtracted from 66 gives 2.
Step4:Learning Long Division
We descend the next (last) digit
of the dividend, 5 to the right
of 2 to make it 25. We know
8 divides 25, three times. 3 x 8 = 24.
(Note that 4 x 8 = 32 exceeds 25.)
We write 3 in the right bracket
after 998 and 24 below 25.
24 subtracted from 25 gives 1
which is the remainder.
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Step1: Learning Long Division
Here the divisor is a
two digit number, 29.
So we see the first two digits
of the dividend which is 98.
We have to find how many
times 29 divides 98.
Unlike in the previous sums
where the knowlegde of
Multiplication Tables was
sufficient to decide
how many times the divisor
divides the number,
here we have to calculate
to decide.
We don't remember (not supposed
to remember) 29 table.29 is near 30.
We know 3 x 30 = 90 which is near 98.
(To find 3 x 30, we simply find 3 x 3
and then put a 0 to the right of
the result.) So we try 3 x 29.
87 is less than 98 by 11 only.
So 4 times 29 is not required.
We have 3 x 29 = 87.
We put 3 in the right bracket and
87 below 98 of the dividend.
87 subtracted from 98 gives 11.
Dividend
Divisor 29 ) 983 ( 3
87
-----
11
Step2: Learning Long Division
We descend the next (last) digit
of the dividend, 3 to the right
of 11 to make it 113.
We know 3 x 29 = 87.
Let us find 4 x 29:
29
4
--- 3
116
---
4 x 29 = 116 exceeds 113.
So 29 divides 113, three times
and 3 x 29 = 87.
We write 3 in the right bracket
after 3 and 87 below 113.
87 subtracted from 113 gives 26
which is the remainder.
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