4 Digit Division - How to do 4 digit long division?

Introduction to 4 digit division:

        Meaning of the term division is dividing the group into equal parts. Use of the term division is dividing. During the division we can get the quotient and the reminder. We can do division in single digit, double digit, treble digit, 4 digits and 5 digits etc. Let us see 4 digit divisions in this article.

Division:

       Division means divide the group into dividend. Division is represented by the symbols ‘/’, ‘) (‘or ‘ ’. Normally division has one operator and two operands.

For example:

        a b here the variable ‘a’ and b is called as operands and the symbol’ ’is called as operator. By the way of division we get quotient and reminder.

The sign of quotient is based on dividend and divisor symbol.

• Positive quotient = positive dividend by positive divisor
• Negative quotient = positive dividend by negative divisor
•  Negative quotient = negative dividend by positive divisor
• Positive quotient = negative dividend by negative divisor

Normally we derive division as step by step process.

Examples for 4 Digit Divisions:

Example:

Divide

Using the step by step process.

Solution:

Given: Dividend =2468

          Divisor =4

Write the given question as follows:

4) 2468 (

Step 1:

Take the first factor in the left hand side.

Here the first factor in dividend is 2. Divide the first number (2) by the divisor (4).

4) 2468 (

Here 2 are not going to the 4.

4) 2468 (0
    0
  ----------
    2

Take the next element in the dividend

4) 2468 (0
    0
  ----------
    24

24 are 6 times go the dividend so note down the answer in right hand side of the dividend.

4) 2468 (06
    0
  ----------
    24

Step 2:

Product of the quotient and divisor as note down directly under the dividend then subtract it.

Here the quotient is 6 so multiply 6 with 4 then write the answer (6 *4 =24) in under the dividend.

4) 2468 (06
    0
  ----------
    24
    24
   ----------

Step 3:

Subtract the step 2 answer (24) from the dividend (24).

4) 2468 (06
    0
  ----------
    24
    24
  ----------
      0

        Check the process. If the step 3 answer is smaller than divisor the condition is true so proceeds the division operation. Here the condition is true therefore we can do the process.

Step 4:

Take the next element in the dividend

4) 2468 (06
    0
  ----------
    24
    24
  ----------
       06

6 are 1 time go the dividend so note down the answer in right hand side of the dividend.

4) 2468 (061
    0
  ----------
    24
    24
  ----------
       06

Step 5:

Product of the quotient and divisor as note down directly under the dividend then subtract it.

Here the quotient is 1 so multiply 1 with 4 then writes the answer (1 *4 =4) in under the dividend.

4) 2468 (061
    0
  ----------
    24
    24
  ----------
       06
       04
   ----------

Subtract the step 5 answer (04) from the dividend (06).

4) 2468 (061
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        2

Step 6:

Take the next element in the dividend

4) 2468 (061
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28

28 are 7 times go the dividend so note down the answer in right hand side of the dividend.

4) 2468 (0617
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28

Step 7:

Product of the quotient and divisor as note down directly under the dividend then subtract it.

Here the quotient is 7 so multiply 7 with 4 then write the answer (7 *4 =28) in under the dividend.

4) 2468 (0617
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28
        28
  ----------
Subtract the step 7 answer (28) from the dividend (28).

4) 2468 (0617
    0
   ----------
    24
    24
  ----------
      06
      04
  ----------
        28
        28
  ----------
         0

When you get 0 as reminder holds the division operation:

Quotient – 28

Reminder – 0

Practice problem for 4 digit divisions:

Practice problem 1: 4624 4

Solution: 1156

Practice problem 2: 1356 (-3)

Solution: -452

Practice problem 3: (-5000) (-5)

Solution: 1000

More books about long division

Read more

• How to do long division step by step?

• How to do long division with remainders

• How to do long division with decimal?

External Link

• How to do long division step by step? (video)
• How to do long division for kids