Vedic Math Division Tricks (Detailed Explanation)

Vedic mathematics is a collection of methods or sutras for quickly and easily solving numerical arithmetic. It consists of 16 sutras called formulae and 13 sub-sutras called sub-formulae, which can be used in solving mathematical problems in arithmetic, geometry, algebra, conics, calculus, etc., and are taken from Sanskrit texts.

Vedic Maths has numerous tricks for calculating sums and solving mathematical problems, such as addition, subtraction, multiplications, and division. Students believe division is difficult to do faster than usual, so here we have explained the Vedic Math Division Tricks. Scroll down to read the article.

Table of Contents

How Do You Solve Division in Vedic Maths?

The division has its own shortcuts and tricks for solving mathematical computations in vedic maths. It has been classified into two methodologies, specific and general. Here is the general method of division that can be done for any type of number, and specific methods can be used when numbers fulfill specific conditions, like a divisor slightly smaller than 100 or meanwhile greater than the power of 10 or a divisor is concluding with 9.

Here, we have provided examples with applicable sutras to the given methods, please find them below:

General Method – Vestanas (Osculators) This method is used to find a digit that is precisely divisible by mentioned divisor. It operates the concept of Ekadhika Purvena

For example:

Now let us determine whether 21 can be divided by 7.

Ekadhika (positive osculator) is 5 for 7.

Therefore, multiply 5 by 1 according to the technique given above, then add 2 to the results 21;1×5+2 = 7 (Divisible by 7) 91;1×5+9 = 14 (Divisible by 7).

Further examples include 14; 45 + 1

Equals 21; 21;

15 + 2 = 7 112;

and 25 + 11 = 21. (Previously seen)

2107; 7×5 + 210 = 245 so , answer is 245; 5×5+24= 49 (Divisible by 7 or proceed further).

Specific Method: This method can be used when the divisor is closer to a power of 10 but less than that.

For example:

9 is one (deficiency) below 10 (nearest power of 10).
The dividend should be divided into 2 equal portions (Quotient and Remainder), with the remainder having the same number of digits as the Divisor. It is 1 digit in this instance.
Put the first digit and the second down.
To get 6, multiply the above shortfall (11) by 2, place it below 4, and add the two numbers in a row.
Deficiency(1) is multiplied by 6 and placed below 3 and added column-wise to yield 9.
Once the final column is filled, we conclude the process.
Knowing that Remainder can never be more than Divisor and that Remainder 9 is equal to our Divisor 9, we may divide 9 by 9 to obtain.

What Is the Trick for Division?

Here, you can find the trick for division in a simple method:

Remember the key terms like dividend, divisor, quotient, and remainder.

Division can also be described as a fraction; in this example, 73 divided by 139 is 73 plus 139.
To insert the 9 after the decimal point, divide the fraction’s numerator and denominator (the top and bottom numbers) by 10.
Round up the denominator (the lowest value) to the nearest multiple of two, in this case, 13.9 to 14.
Then, box off the left and bottom sides of the dividend to keep it visually distinct and write the divisor before the dividend like before.
Division techniques (calculated to the closest ten thousandths): Since 14 cannot be divided by 7, put 0, then a decimal point.
14 into 73 = 5 remainder 3.
Make a note of the remainder, 3, in front of the 5, making it 35.
14 into 35 = 2 remainder 7.
Make a note of the remainder, 7, in front of the 2, making it 72.
14 into 72 = 5 remainder 2.
Make a note of the remainder, 2, in front of the 5, making it 25.
14 into 25 = 1 remainder 11.
Make a note of the remainder, 11 in front of the 1, making it 111.
14 into 111 = 7 remainder 13. The answer is 0.52517, which rounds to 0.5252.

What Are the 3 Strategies Used for Solving Division Problems?

Here are three strategies that are used for solving the division problems:

Long Division: The problem of dividing large numbers is divided into multiple steps and working in a specific pattern. This process is known as long division.
Partial Quotient Division: Division using partial quotients differs from the conventional approach. The partial quotients approach makes use of repeated subtraction to solve basic division problems.
Area Model Division: Similar to the partial quotients method, the area model method makes use of repeated subtraction. Likewise, using rectangles to describe division is called an area model. The partial quotients and the divisor determine the rectangle’s length and width.

What Is Flag Method of Division in Vedic Maths?

The flag method is also known as the general method of division in vedic mathematics. It shows the tricks and shortcuts to divide any type of number and is mostly used for the division of large digits.

Here is the single-digit flag explanation:

Dividend = 1234 and Divisor = 12, where Divider (12) is divided into 2 pieces, 1 and 2, with division carried out using ONLY 1 (new divisor), while 2 is referred to as the flag. It has two parts, so part two has the same number as the flag, which is a single digit, as the flag is only a single digit.

What Are the 3 Rules of Division?

The division is defined as a nonzero integer m divides an integer n provided that there is an integer q such that n=mq. We say that m is a divisor of n and that m is a factor of n and use the notation m|n.

The division has 13 rules in mathematics, here we are providing 3 of them below:

Rule 1: Each integer can be divided by 1. There is no restriction on the 1’s ability to be divided. No matter how big the number is, dividing it by 1 is the number itself. For instance, the number 3 is entirely divisible by 1, as is the number 3000.
Rule 2: A number is always entirely divisible by 2 if it is even or if its last digit is an even integer (2, 4, 6, 8, including 0).
Rule 3: The divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.

FAQ: Vedic Math Division Tricks

1. How do you multiply and divide using Vedic Maths?

These are the following steps to multiply and divide using vedic maths.

For example

Step 1 – Multiply the number by 2 or any given digit

Step 2 – Move the decimal point to the left

Step 3 – Left side of the decimal point is the conclusion.

2. How to do division by 13 in Vedic maths?

When determining whether a given number is divisible by 13, we must add four times the number’s last digit to the remainder before repeating the process until we reach a two-digit number. Now determine whether or not the two-digit number is divisible by 13. The given number is divisible by 13 if it is a divisible number.

3. How to do division by 9 in Vedic maths?

The sum of the digits of the given number should be divisible by 9.

Conclusion

There are many tricks and shortcuts, including vedic math division tricks to master vedic maths. Similarly, there are many concepts to learn and practice. Through these techniques, students can solve complicated mathematical computations within less period of time. It aids in the development of logical reasoning and rapidly improves brain functionality. The more you practice, the more you will master vedic maths.