The division is a method of distributing or splitting a large group of things into equal smaller parts. It is a major arithmetic operation apart from addition, subtraction and multiplication, in which large numbers are divided in such a way that it forms a new number.

In order to perform division, we use two symbols. They are ÷ and /.

For example, 8 ÷ 2 = 4, and 8/2 = 4

The formula of division is:

Dividend = (Divisor × Quotient) + Remainder

Example: 265 is divided by 4

Term | Description | Value |
---|---|---|

Divisor | Total number of equal groups | 4 |

Dividend | Total number that are split | 265 |

Quotient | The number of parts | 65 |

Remainder | The remaining part | 5 |

You can easily verify whether your answer is correct or not by putting the values in definition.

Dividend = (Divisor × Quotient) + Remainder

265 = (4 × 65) + 5 = 260 + 5 = 265

265 = 265

**Divisor Dividend**

⬇️ ⬇️

4 | 2 6 5 | 65 ⬅️ **Quotient**

2 4

______

2 5

2 0

_______

5 ⬅️ **Remainder**

In vedic maths depending on divisor and dividend, we can divide any number by using certain sutras/techniques such as

Nikhilam Sutra, Paravartya Sutra, Anurupyena Sutra, Ekadhikena Purvena, and Vestanas.

**Division With Single Digit**

**With 5**

**Example 1:** 4314 ÷ 5

**Traditional method** so long and boring

5 ) 3 1 2 4 ( 6 2 4. 8

3 0

‐——

**1 2 **

**1 0**

______

2 4

2 0

________

*4 0 4 0*

**Vedic maths method**

**Step 1:** Just double the number by multiplying with 2

**Step 2**: After doubling, put a point just before the unit digit, you get the result.

3 1 2 4 ÷ 5

⬇️- just double the number

6 2 4 8

6 2 4 . 8 is the Answer

**Example 2**: 34323 ÷ 5

3 4 3 2 3

6 8 6 4 6 (Double by multiplying with 2)

6864.6 – (put one point before unit digit)

Example 3: 6848 ÷ 5

6 8 4 8

**×2 ×2 ×2 ×2 – do it only in mind**

**_________________**

12 | 1 6 | 0 8 | 1 6 – Apply Balancing Rule

|➕| |➕| |➕|

_______________

1 3 6 9 6

》Answer is 1369.6

**With 9**

**Step 1**: Drop the first number from the left as it is.

**Step 2: **Add that number with next, again add with next and continue till end.

**Step 3:** Put a point before unit digit

**Example 1**: 2213 ÷ 9

2 2 1 3

2 4 5 8

》Answer is 245.8

**Example 2**: 23578 ÷ 9

2 3 5 7 8

2 | 5 | 10 |17 | 25 + 2 — { 9 ) 25 ( 2 }

2 | 5 | 1 0 |1 7 | 2 7 18

____________________

2 6 1 9 7

》Answer is 2619.7

**Example 3:** 467389 ÷ 9

4 6 7 3 8 9

4 | 10 | 17 | 20 | 28 | 37+4 —-9 ) 37 (4

4 | 10 | 17 | 20 | 28 | 41 36

______________________

5 1 9 3 2 1

》 Answer is 51932.1

**Division With Two Digit Number**

**With 25**

**Example** : 34343423 ÷ 25

**Step 1:** In case of 25 you multiply every digits with 4 not two as you were doing in case of 5. But do this multiplication in your mind so don’t write ×4.

**Step 2**: Put one point before tens place

3 4 3 4 3 4 2 3

×4 ×4 ×4 ×4 ×4 ×4 ×4 ×4-only in mind

12 |1 6 |12 | 16 | 12 | 16 | 08 | 12

1 3 7 3 7 3 6 9 2

》 Answer is 1373736.92

**With 99**

**Step 1**: As 99 is a double number, divide the number in pairs.

**Step 2:** Same as 9, add to next number

**Step 3**: Put one point before tens place

**Example**: 12231 ÷ 99

Pairs

⬇️ ⬇️ ⬇️

01 22 31

⬇️↗️ ⬇️↗️ ⬇️

1 23 54 (23+31)

⬆️

(22+1)

》 Answer is 123.54

**With 50**

**Step 1**: Same as 5

**Step 2**: Put one point before tens digit

**Example**: 22345 ÷ 50

2 2 3 4 5

×2 ×2 ×2 ×2 ×2 –do it in mind

_________________

4 | 4 | 6 | 8 | 10

4 4 6 9 0

》 Answer is 446.9

**With 11**

**Step 1: **As we have doubled the numbers in case of 5, 50, here we have to subtract

**Step 2**: Put one point before unit digit

**Example 1**: 2467 ÷ 11

2 4 6 7

(From left drop 2 then deduct 2 from 4 and from 6 etc.)

2 4 6 7

2 2 4 3

⬆️ ⬆️ ⬆️

(4-2) (6-2) (7-4)

》 Answer is 224. 3

⬇️ ⬇️

Quotient Remainder

**Example 2:** 8367 ÷ 11

8 3 6 7

8 here 8 is bigger than 3 so we have to make this bigger than 8. 3 borrow 1 from 8 and become 13, and 8 become 7.

8 3 6 7

7 6 0 7

⬆️ ⬆️ ⬆️ ⬆️

⬆️ (13-7) (6-6) (7-0)

(Write 7 not 8)

》 Answer is 760. 7

⬇️ ⬇️

Quotient Remainder

**Final Words**

From the above article you must have learned very effective techniques of vedic maths division. These techniques needs a lot of practice, so as to do any division fast, within 2 to 5 seconds.