Division
Division is one of the four basic mathematical operations, the other three being Addition, Subtraction, and Multiplication. In simple words, division can be defined as the splitting of a large group into equal smaller groups.
Division can be introduced by considering objects from our daily life like slices of pizza or a bar of chocolate. For example, if we divide a pizza into 4 slices, we do division. Thus, 1 ÷ 4 = 0.25. This means, that each piece of the slice of this pizza is 0.25 times the total pizza. Let's learn this concept in more detail.
1.  What is Division? 
2.  General Formula for Division 
3.  Terms Related to Division 
4.  Long Division Method 
5.  FAQs on Division 
What is Division?
The division is a major arithmetic operation in which numbers are combined and divided in such a way that it forms a new number. This means that we will divide one number with another, and a whole new  third number will be formed. Division is a method of grouping objects equally in groups, such as arranging students in rows during assembly.
Division Definition
Division is the process of repetitive subtraction. It is denoted by a mathematical symbol that consists of a short horizontal line with a dot each above and below the line.
Division Symbol
In order to perform operations that require us to divide, we use certain symbols. There are two basic divide symbols that represent division. They are ÷ and /. For example, 4 ÷ 2 = 2, and 4/2 = 2
Special Cases
Given below are three special cases of division. Any number is divided by 1(the quotient equals the dividend), gives the answer the same as the dividend. For examples: 10 ÷ 1 = 10
 A number cannot be divided by 0 and the result is thus undefined. Example: 60 ÷ 0 = undefined (but 0 ÷ 60 = 0)
 When the dividend equals the divisor, which means the same numbers but not 0, then the answer is always 1. For examples: 41 ÷ 41 = 1
What is the General Formula for Division?
The general formula for the division will require us to have the dividend, the quotient, the divisor, and the remainder. The meaning of each of these terms can be understood from the image given below. In order to better understand the concept of how to divide, we recommend going through the page of the long division method. The general formula of division is: Dividend = (Divisor × Quotient) + Remainder
Terms Related to Division
Have a look at the table given here in order to understand the terms related to division given in the division carried out here previously.
Terms  Descriptions  Values 

Dividend  The total pieces that are to be shared  105 
Divisor  The number of equal groups that are to be made  8 
Quotient  The number of pieces in each group  13 
Remainder  The remaining piece that is not part of any group  1 
Verification of Division Result
We can easily verify if our answer is correct or wrong. As division is the reverse of multiplication, let us find out how we can verify our answer using this information. For example, 6÷2=3, remainder=0. In other words, 6=2×3+0. This can be expressed as Dividend = (Divisor × Quotient) + Remainder.
Let us reconsider the example discussed above, where the
 dividend = 105
 divisor = 8
 quotient = 13
 remainder = 1
Substituting the value in the formula, we get 105=(8×13)+1=104+1=105. Therefore, our answer is correct.
Long Division Method
Long Division Method is the most common method used to solve problems on division. In this process, the divisor is written outside the right parenthesis, while the dividend is placed within. The quotient is written above the overbar on top of the dividend. The quotient in mathematics can be defined as the result of the division between a number and any divisor. It is the number of times the divisor is contained in the dividend without the remainder being negative.
 Step 1: Take the first digit of the dividend. If this digit is greater than or equal to the divisor.
 Step 2: Then divide it by the divisor and write the answer on top.
 Step 3: Subtract the result from the digit and write below.
 Step 4: Again, repeat the same process.
Let us understand the process of the division with the help of an example. For example, we are to divide 435 by 4. Hence, we need 435 ÷ 4.
 Here, the first digit is 4 and it is equal to the divisor. So, 4 ÷ 4 =1; 1 is written on top. The result 4 × 1 =4 is subtracted from the digit and 0 is written below.
 Next drop the second digit or the digit in the ten’s place beside 0. Since 03 is less than 4, we cannot divide this number. Hence, we write a 0 on the top and drop the digit on the unit place beside 3.
 Now, we have 35. As 35 > 4, we can divide this number and write 35 ÷ 4 = 8 on top.
 Subtract the result 4 × 8 = 32 from 35 and write 3.
 3 is known as the remainder and 108 is called the quotient.
Solved Examples on Division

Example 1: Lalit has 2 puppies. He bought 8 chewable bones to feed them both equally. How many bones will each puppy get?
Solution:
Number of Puppies = 2. Number of bones = 8. Number of bones for each puppy = 8/2 = 4. Therefore, each puppy will get 4 bones.

Example 2: Aman's mother baked some cookies for him. Priya and Aarav, his best friends, decided to give him a surprise by visiting him unannounced. If there were 9 cookies, how many did Aman's mother give Aman, Priya, and Aarav so that they were equally shared between them? Use the division method to check your answer.
Solution:
Number of cookies = 9. Cookies divided equally among Aman, Priya, and Aarav = 9/3 = 3. To check division, we will put the values in the formula, Dividend = (Divisor × Quotient) + Remainder. So, 9 = 3 × 3 + 0 = 9. Hence, verified.
FAQs on Division
What are the Two Types of Division?
The division is split into two parts i.e., partitive and quotative models. Partitive is used when dividing a number into a known number of slots. For example, if we divide 4 into 2 slots, we can find out how many items will be in each slot. Quotative division is used when dividing a number into slots of a measured quantity. For example, when we divide 4 into slots of 2, we can determine how many slots can be created.
What are the 3 Parts of Division?
The three main subsets or parts of division are dividends, quotient, and divisor.
How do You Divide When the Divisor is Bigger Than the Dividend?
In this case of division, we can simply keep on adding zeroes to the dividend until it becomes appropriate to divide further. Furthermore, we can divide the quotient by the same powers of 10 for the final answer once we get the division done correctly.
How to Divide Fractions?
Dividing fractions is also as easy as dividing any other two numbers. The numerator becomes the divisor, while the denominator becomes the dividend. However, in the case of fractions, we may end up getting the remainder more than often.
How to Divide Decimals?
Dividing decimals is also as easy as dividing any other two numbers. All you need to do is multiply the decimal with powers of ten till you get an integer. Then you can carry out the normal division process. Once you get your final answer, make sure to divide it with the same powers of 10 that you divided earlier with.
What is Long Division Method?
Long Division Method is the most common method used to solve problems on division. In this process, the divisor is written outside the right parenthesis, while the dividend is placed within. The quotient is written above the overbar on top of the dividend.
What are the Steps of the Long Division Method?
The steps for long division are:
 Step 1: Take the first digit of the dividend. If this digit is greater than or equal to the divisor.
 Step 2: Then divide it by the divisor and write the answer on top.
 Step 3: Subtract the result from the digit and write below.
 Step 4: Again, repeat the same process.
Why Division by Zero is Undefined?
Division by zero is undefined because one cannot divide any number by zero. This is because when any number is multiplied to zero, the answer is 0. Now, think the reverse of it. 1/0 will have infinite value. We can not quantify this value in mathematics. Hence, the division of any number by zero is undefined.