Division Formula

The division formula is used for splitting a number into equal parts. Symbols that we use to indicate division are  (÷) and (/). Thus, “p divided by q” can be written as: (p÷q) or (p/q). Let us see the division formula along with solved examples in the following section.

What Is Division Formula?

The division formula is the formula of division, which is one of the four basic operations of arithmetic. The division formula is used to equally split the number into many parts. Division Formula of a given value can be expressed as,

Where,

• The dividend is the number that is to be divided
• The divisor is the number to be divided with
• The quotient is the result.

Division Formula For Verification

Let us find out how we can verify our answer of division while using the division formula. For example, 8 ÷ 2 = 4, remainder = 0. In other words, 8=2×4+0. This method of verification can be expressed as:

Dividend = (Divisor × Quotient) + Remainder.

Let us consider one more example where the

• dividend = 9
• divisor = 3
• quotient = 3
• remainder = 0

Substituting the value in the formula, we get 9 = (3×3)+0=9. Therefore, our answer is correct.

Examples on Division Formula

Example 1: Divide, by using the division formula, the value of 500 by 50. What will be the quotient?

Solution:

To find: The quotient

Dividend = 500.
Divisor = 50.
Using Division Formula,
Dividend / Divisor = Quotient
(500/50) = 10
= 10

Answer:  After the division, the quotient will be 10.

Example 2: 200 chocolates were distributed equally among 40 children. How many chocolates were given to each child? Calculate this by using the division formula.

Solution: 

To find: Number of chocolates were given to each child.
Given information are:
Total chocolates = 200.
Total children = 40.
Using Division Formula,
Chocolates given to each child = (Total chocolates / Total Children)
= (200/40) 
=  5

Answer: 5 chocolates were given to each child.

Example 3: Liza has 4 puppies. He bought 36 chewable bones to feed them equally. How many bones will each puppy get?

Solution:

The number of Puppies Liza has = 4.
The number of bones = 36.
Number of bones for each puppy = 36/4 = 9.

Answer: Each puppy will get 9 bones.