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

Division of two-digit by a one-digit numbers

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

Divide and verify the result

(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

Division of Two-Digit by a One-Digit

(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

Division of Two-Digit by a One-Digit


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

Word Problems on Addition

Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

Multiply a Number by a 2-Digit Number

Multiplication of a Number by a 3-Digit Number

Multiply a Number

Estimating Products

Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

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

Dividing Numbers

Estimating the Quotient

Division by Two-Digit Numbers

Word Problems on Division



4th Grade Math Activities

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