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Division refers to a technique that distributes a number of things equally or accordingly which are divisible. In mathematics, there are four operations of arithmetic and they are addition, subtraction, multiplication, and division. This article is regarding the division. This operation plays a vital role in mathematics and helps you in day-to-day activities.
To understand division, you will need to know multiplication as it is the inverse of multiplication. Let’s take the example of mathematics to understand this particular operation in brief. Picking up a number 5, i fwe multiply it with 6 it will become 30. Now we reverse the same operation, if we divide 30 into 5 parts, the answer will be 6.
Division Symbol
Division in math is denoted by a symbol (÷) or (/). The division symbol is used only for division, it is used after the first number and followed by the second. For example, 9/3=3.
Parts involved in division method
Dividend
The dividend is the number that is divided by another number to get the outcome or the result. The dividend is the starting point for any division procedure. The dividend is one of four critical components of the division process. It is to be split into equal portions. For instance, if 30 divided by 6 is 5, then 30 is the dividend, which is divided into two equal parts.
Divisor
A number that divides another number is known as a divisor. We can’t divide numbers until we have a divisor. Dividend, divisor, quotient, and remainder are four crucial words used in division. The division is a means of dividing things into groups evenly. The ‘divisor’ is the total number of equal groups into which it must be split.
Quotient
The quotient is the result of dividing one integer by another integer or number. For example, if we divide 30 by 5, the result will be 6, which is referred to as a quotient. The quotient can be either an integer or a decimal as in points. For exact divisions such as 30/5 = 6, the quotient is an integer, however, for divisions such as 10/4 = 2.5, the quotient is a decimal. A quotient can be more than the divisor but never greater than the dividend.
Remainder
The term “remainder” refers to the component that remains after the division procedure has been completed. If we split 6 pens evenly among 4 youngsters, we are left with 2 pens. In this example, the remaining 2 pens represent the remainder. In addition, if you divide 23 by 3, the quotient is 7 and the remainder is 2. The divisor is always greater than the remainder.
In many cases, the remainders are discarded or rounded, yielding just a whole integer response. The number 2 following the decimal in the decimal number 7.03 is the remainder and is often disregarded to give only the whole number response 7. In the decimal number 8.9 is the remainder then the remainder will be rounded to a whole number which will be 9.
Types of Division in Math
Chunking Method
Chunking is a common method for solving simple division problems. It is also known as the hangman technique. This strategy is used in the lower grades to teach fundamental division.
Children will use the chunking approach to continually reduce the divisor from the payout until we receive 0 or a value less than the divisor. In the theory we follow, chunking is more adaptable than the previous technique since the quotient computation is less dependent on place values.
An example of the Chunking Method where we calculate 142 divided by 8: –
142
80 (10 × 8)
—
62
56 (7 × 8)
—
6
—
142 = 17 × 8 + 6
Short Division Method
A formal written way of dividing numbers is known as short division. It is frequently used for dividing integers with up to four digits by numerals with one digit. You may have also heard it referred to as the ‘Bus Stop’ approach, so they both refer to the same thing.
The short division method is a rapid and efficient way to divide bigger numbers. After the students have mastered the chunking approach, they will go to short division, which may be used to handle division problems with a very big dividend divided by a one-digit divisor.
Here is the example of short division method
5
____
4) 20
20
____
0
___
Long Division Method
Long Division is a technique for dividing big numbers that divides the task into numerous phases that follow a sequence. The dividend is divided by the divisor in the same manner as traditional division issues are, producing the quotient and, in certain situations, a remainder.
An example of the long Division Method of dividing 1332 by 2
666
____
2)1332
12
__
13
12
__
12
12
__
0
__
Conclusion
In this article, we have discussed what division is and its types which can help you to learn the basics and start with the division methods. As mentioned above 3 methods of division you can use anyone to find out the solution as per the easiest one among them you feel. As all the methods are easy and easy to work on if you start practicing.
