The division is one of the arithmetic operations that separate a group into equal parts. Here, you will learn about the division of a 4-digit number by a 1-digit number. Get a detailed explanation of the division sums 4 digit by 1 digit in the following sections. By dividing any four-digit number by a one-digit number gives the quotient and remainder as result.

**Also, Check:**

- Dividing 2-Digit Number by 1-Digit Number
- Worksheet on Divide by 2-Digit Divisors
- Problem Solving on Division

## Dividing Four Digit Number by One-Digit Number

In maths, division means the repeated subtraction, it splits a group into equal parts. To perform the division operation, we just need two numbers. The parts of division are dividend, divisor, quotient, and remainder. Division of Four-Digit by a One-Digit Numbers means divisor should be a 1-digit number, the dividend should be a four-digit number.

**Examples:
**1256 Ã· 2, 5642 Ã· 8

### How to Divide 4 Digit Numbers by 1 Digit Numbers?

Check out the simple steps to find the division of four-digit by one-digit numbers in the following sections.

- Get the four-digit dividend and one digit divisor.
- Write the 4-digit number inside the division symbol and the 1-digit outside the symbol.
- Divide the 1-digit of the dividend by the divisor, write the factor at the quotient.
- Subtract the factor from the dividend.
- If the first digit of the dividend is lesser than the divisor, then take the second digit also.
- Then divide it by the divisor and write the answer on the top.
- Subtract the result from the digit and write below.
- Repeat the process.

### Dividing 4 Digit Numbers by 1 Digit Examples

**Question 1:**

Divide 4263 Ã· 3 and find the quotient.

**Solution:**

Given that,

4263 Ã· 3

Dividend = 4263

Divisor = 3

(i) 4 > 3. So, 4 is taken for division

3 x 1 = 3

4 – 3 = 1

(ii) 12 is taken for division

3 x 4 = 12

12 – 12 = 0

(iii) 6 is taken for division

3 x 2 = 6

6 – 6 = 0

(iv) 3 is taken for division

3 x 1 = 3

3 – 3 = 0

The quotient is 1421 and remainder is 0.

Therefore, 4263 Ã· 3 = 1421

**Question 2:**

Solve 7785 Ã· 5 and find the quotient.

**Solution:**

Given that,

7785 Ã· 5

Dividend = 7785

Divisor = 5

(i) 7 > 5, so 7 is taken for division

5 x 1 = 5

7 – 5 = 2

Therefore, 1TH will be the quotient.

(ii) 27 is taken for division

5 x 5 = 25

27 – 25 = 2

Therefore, 2H will be the quotient.

(iii) 28 is taken for division

5 x 5 = 25

28 – 25 = 3

Therefore, 5T will be the quotient

(iv) 35 is taken for division

5 x 7 = 35

35 – 35 = 0

Therefore, 7 will be the quotient.

The quotient is 1557

remainder is 0.

So, 7785 Ã· 5 = 1557

**Question 3:**

Find the quotient and check the solution.

1596 Ã· 7

**Solution:**

Given that,

1596 Ã· 7

Dividend = 1596

Divisor = 7

(i) 1 < 7, so 15 is taken for division

7 x 2 = 14

15 – 14 = 1

So, 2H will be the quotient

(ii) 19 is taken for division

7 x 2 = 14

19 – 14 = 5

So, 2T will be the quotient

(iii) 56 is taken for division

7 x 8 = 56

56 – 56 = 0

So, 8 will be the quotient

Therefore, the quotient is 228 and the remainder is 0

Verification:

Dividend = divisor x quotient + remainder

1596 = 228 x 8 + 0

= 1596 + 0

= 1596

So, the result is verified.

### FAQs on Division of 4 Digit Numbers by 1 Digit Numbers

**1. How do you divide a 4 digit number by a 1 digit number?**

If the thousand’s digit of the dividend if it is less than the divisor, then take the first 2 digits of the dividend for division otherwise, take the first digit for division. Check which multiple divides the dividend and subtract it from the dividend. Repeat the process until you divide the one digit of the dividend. Write quotient and remainder.

**2. When do we use the long division method?**

The long division method is used for computing the division of large numbers. It splits the division problem into a sequence of easier steps. So, it finds the division of two larger numbers easily.

**3. What is the short division method?**

The short division is also called the bus stop method. It is a division algorithm that divides the division problem into a series of easier steps. The parts of division are dividend, divisor, quotient, and remainder. The formula of division is dividend = divisor x quotient + remainder.