How to divide whole numbers?

Whole numbers are a set of numbers that include all positive integers from 0 onward, without any fractions or decimals. They are represented by the numbers 0, 1, 2, 3, and so on, including all natural numbers and zero.

Division of Whole Numbers: Step-by-Step Process

Dividing whole numbers involves splitting a quantity into equal parts. The division process aims to determine how many times one number can be subtracted from another without resulting in a negative value. Here’s a step-by-step guide to dividing whole numbers:

Step 1: Set up the Division

Write the dividend (the number being divided) inside the division symbol and the divisor (the number you are dividing by) outside the symbol.

Step 2: Perform Division

Begin dividing the leftmost digit of the dividend by the divisor. If the divisor is larger than the current portion of the dividend, consider the next digit to form a larger number.

Step 3: Determine Quotient

Continue dividing each portion of the dividend until the entire number is processed. The result obtained after each division is the quotient.

Example: Division of Whole Numbers

Example 1: Dividing 105 by 8.

Solution:

Here 105 and 8 both are whole number. Now we divide dividend 105 by divisor 8 by following some steps,

• Take the dividend’s first digit from the left. Before that Check if this digit is larger or smaller than the divisor.If digit is smaller than the divisor then we will take first two digit from the left.
• Next, divide it by the divisor and write the result as the quotient on the top.
• Deduct the result from the digit and type the difference in the box below.
• Reduce the dividend by the next digit (If present).
• Carry on with the same procedure.

Dividing 105 by 8

In this example, 105 divided by 8 equals 13 with a remainder of 1.

By following these steps, you can effectively divide whole numbers and obtain accurate quotients. This fundamental arithmetic operation forms the basis for more complex mathematical calculations.

Example 2: Divide the whole number 845 by another whole number 8?

Solution:

Here 845 and 8 both are whole number. Now we divide dividend 845 by divisor 8 by following some steps:

• Take the dividend’s first digit from the left. Before that Check if this digit is larger or smaller than the divisor.If digit is smaller than the divisor then we will take first two digit from the left.
• Next, divide it by the divisor and write the result as the quotient on the top.
• Deduct the result from the digit and type the difference in the box below.
• Reduce the dividend by the next digit (If present).
• Carry on with the same procedure.

Dividing 845 by 8

Here, Dividend = 845

Divisor  = 8

Quotient = 15

Remainder = 5, all are whole numbers.

Word Problems on Division of Whole Numbers

Problem 1: Ajay has 4 puppies. He bought 36 chewable bones to feed them equally. How many bones will each puppy get?

Solution:

The number of Puppies Ajay has is 4.

The number of bones = 36.

To distribute equally we use division formulae: Quotient = Dividend / Divisor

Number of bones for each puppy = 36/4 = 9.

Problem 2: Divide the whole number 400 by another whole number 5?

Solution:

Here we will use division formulae: Quotient = Dividend / Divisor

Dividend = 400, Divisor = 5

Quotient = Dividend / Divisor

Quotient = 400/5

Quotient = 80