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However, this is a bit time-consuming, so we can shorten it as shown here.

4 3 1 Quotient

23 9 9 1 3

– 9 2 23 × 4 = 92 < 99 and 23 × 5 = 115 > 99
7 1
– 6 9 23 × 3 = 69 < 71 and 23 × 4 = 92 > 71
2 3
– 2 3 23 × 1 = 23

00 Remainder

division of Large numbers

Large numbers are divided in the same way as smaller numbers.
6 7 0 Q
example 2. Divide 5364 by 8.
8 5 3 6 4
Solution. – 4 8

Step 1. Since 5 < 8, divide the number formed by the first two 5 6
– 5 6
digits from the left, that is, 53 by 8.
0 4
Quotient = 6 and Remainder = 5 – 0 0

4 R
Step 2. Bring down 6 next to 5 to form the number 56. Divide
56 by 8.

Quotient = 7 and Remainder = 0

Step 3. Bring down 4. Since 8 × 0 = 0, write 0 in the ones place of the quotient and

the remainder as 4.

Checking:

Quotient × Divisor + Remainder = Dividend

670 × 8 + 4 = 5364

5360 + 4 = 5364

5364 = 5364

Therefore, the division is correct.

53
Mathematical Operations