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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