The division is one of the four basic arithmetic operations that help to split into equal parts. Dividing by 2 digit number means a large quantity of data is distributing into equal groups. Here, students can know the definition of division by two-digit numbers. Also, find a detailed explanation to solve the division by two digit numbers problems along with the solutions.

**Also, Check:**

- Division of Four-Digit by a One-Digit Numbers
- Dividing Numbers
- Problem Solving on Division
- Worksheet on Divide by 2-Digit Divisors

## Division by Two-Digit Numbers

Division by Two-digit numbers means the divisor should be a two-digit number and dividend can be a two-digit or more than a two-digit number. Every two-digit number has ten’s place and one’s place in it. Get the instructions and simple steps to compute the division of a number by a two-digit number in the below-included sections of this page.

### How to Divide a Number by Two-Digit Numbers?

Make use of various division methods to divide by two-digit numbers from the following sections.

**Method 1:**

- Take the first 3 digits of the dividend if it is less than the divisor. Otherwise, take the first 2 digits of the dividend.
- Write the quotient on the top of the dividend and the product below the dividend.
- Subtract dividend from the product.
- Bring down the next number of the dividend.
- Repeat the process.

**Method 2:**

- Write the dividend inside the division symbol and the divisor outside the division symbol.
- Write the quotient on the top and multiply the quotient by the hundredth number.
- Write that product below the dividend and subtract it from the dividend
- Repeat the process.

### 2-Digit Division Examples with Answers

**Example 1:**

Divide 768 by 12 using 1st method.

**Solution:**

Given that,

768 ÷ 12

76 > 12. So, take the first two digits of the dividend.

Let us check 12 x 6 = 72 and 76 > 72

Subtract 72 from 76 i.e 76 – 72 = 4

Write 6 in the place of quotient

Bring down the next digit of the dividend i.e 8

It makes 48

Let us check 12 x 4 = 48

Subtract 48 from 48 i.e 48 – 48 = 0

Write 4 at the quotient after 6.

Write 0 as the remainder.

The quotient will be 64.

Therefore, 768 ÷ 12 = 64

**Example 2:**

Divide 1378 by 26 using the 2nd method.

**Solution:**

Given that,

1378 ÷ 26

1 < 13. So, consider the first two digits of the dividend

13 < 26. So, consider the first three digits of the dividend

137 > 26

26 x 50 = 1300

1378 – 1300 = 78

26 x 3 = 78

78 – 78= 0

The quotient will be 50 + 3 = 53

Therefore, 1378 ÷ 26 = 53

**Example 3:**

Divide 47320 by 35 and verify the quotient.

**Solution:**

Given that,

47320 ÷ 35

47 > 35

Consider the first two digits of the dividend for the division.

35 x 1 = 35

35 x 2 = 70

So, add 1 at the quotient part

Subtract 35 from 47

47 – 35 = 12

Bring down the next digit of the dividend i.e 3.

It becomes 123

35 x 5 = 175

So, add 5 after 13 at the quotient

Subtract 175 from 182

182 – 175 = 7

Bring down the next digit of the dividend i.e 0.

It becomes 70

35 x 2 = 70

Subtract 70 from 70

70 – 70 = 0

Therefore, quotient is 1352

Verification:

Dividend = Divisor x quotient + remainder

= 35 x 1352 + 0

= 47320

Therefore, 47320 ÷ 35 = 1352.