# Division of Two-Digit by a One-Digit Numbers

In division of two-digit by a one-digit numbers are discussed here step by step.

How to divide 2-digit numbers by single-digit numbers?

Let us follow the examples to learn to divide 2-digit numbers by one-digit numbers.

Divide the following and verify the result

(i) 42 ÷ 6

(ii) 85 ÷ 5

(iii) 76 ÷ 6

Solution:

(i) 42 ÷ 6 Since, 6 sevens are 42, i.e., 6 × 7 = 42

So, 7 will be quotient

6 × 7 + 0 = 42, the dividend

So, quotient 7 is verified

Therefore, 7 is quotient

(ii) 85 ÷ 5 (a) 8 > 5 so first 8 will be divided. 8T ÷ 5 = 1T so quotient will be 1 ten

(b) 8T - 5T = 3T, 3T + 5 = 35 for 35 ÷ 5, 5 × 7 = 35.

So 7 is quotient

(c) 5 × 17 = 85 (dividend)

So, result is verified.

Therefore, Quotient = 17, remainder = 0

(iii) 76 ÷ 6 (a) 7 > 6, so 7T will be divided by 6,

6 one is 6, so 1T is quotient

(b) 7 – 6 = 1, 6 is carried down, so 16 will, be divided by 6.

6 twos are 12, 6 threes are 18, so quotient will be 2.

(c) 16 - 12 = 4 is the remainder

(d) 6 × 12 + 4 = 72 + 4 = 76 (dividend)

Therefore, result is verified.

The quotient = 12

Remainder = 4

Let us follow the examples to learn to divide 3-digit numbers by one-digit numbers.

645 ÷ 6 Check:

107 × 6 = 642

642 + 3 = 645

Here we know, 645 ÷ 6 = 107 remainder is 3

645 is dividend

6 is divisor

107 is quotient

3 is remainder

The same method is used when dividing larger numbers.

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