Division of Whole Numbers

Division of Whole Numbers – Representation, Properties, Examples | Relation between Divisor, Dividend, and Quotient

The primary and the basic operation of arithmetic is division. The division is defined as the distribution of group things or items and also the inverse operation of multiplication which means equal sharing. Refer to the entire article to be aware of Division Representation, Properties of Division of Whole Numbers, Different Terms used in Division, etc. Also, get an idea of the Relation between Divisor, Dividend, and Quotient in the later modules.

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Representation of Division

The division is represented with the operator “ ÷”. It is defined as a short horizontal line that has two dots one above the line and the other below the line.

Properties of Division of Whole Numbers

Property 1: Division by 1
If any value or number is divided by 1, then there will be no change in the result value.
Suppose that the number is 65. If we divide the number 65 by 1, then the result is the number itself i.e., 65
Property 2: Division by zero(0)
If zero is divided by any number or value, then the result will be 0.
Suppose that 0 is divided by 87. If we divide the number 0 by 87, then the result is 0.
Property 3: Division by the same number
If any value or number is divided by the same number, then the result is always 1.
Suppose that 87 is divided by 87, then the result is 1.

Different Terms Used in Division

The various terms used in the division are dividend, divisor, quotient, and remainder.

  • Dividend is the value that is divided by a number
  • The divisor is the value that divides another number
  • The quotient is the value that implies the result of the division
  • The remainder is the value that is left over after the division

How to Divide Whole Numbers? | Steps in Division of Whole Numbers

Go through the below-listed process for dividing whole numbers. They are along the lines

Step 1: In the first step, start dividing in the leftmost part or from the digit of the highest place value.
Step 2: Then, multiply the quotient by the divisor then subtract.
Step 3: In the next step, bring down the next place value. Again, divide it by the divisor. Write the quotient on the top of that same place value.
Step 4: Now, repeat step 2 until all the place values have been divided.
Step 5: Finally, to check if your quotient is correct, multiply the quotient by the divisor. Remember, multiplication is the opposite of division.
Step 6: Verify the product is the same as the dividend.
The answer of the division operation is verified in the following manner
Quotient × Divisor + Remainder = Dividend

Division of Whole Numbers Examples

Example 1:
A bus travels 60 miles and consumes 3 gallons of gas. Find the number of miles per gallon the bus gets?
As given
No of miles the bus travels = 60 miles
No of gallons it consumes = 3
The number of miles per gallons the bus gets = miles/gallons
= 60/3

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