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.
Related Concept
● Addition
● Check for Subtraction and Addition
● Word Problems Involving Addition and Subtraction
● Estimating Sums and Differences
● Multiply a Number by a 2-Digit Number
● Multiplication of a Number by a 3-Digit Number
● Word Problems on Multiplication
● Division of Two-Digit by a One-Digit Numbers
● Division of Four-Digit by a One-Digit Numbers
● Division by 10 and 100 and 1000
● Division by Two-Digit Numbers
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