Introduction
Division is the process of splitting a large number into equal groups. It is the inverse operation of multiplication. We use division to find out how many times one number is contained within another.
Explanation Step by Step
To master division, understand these four components:
| Term | Description |
|---|---|
| Dividend | The total number you want to divide. |
| Divisor | The number you divide by. |
| Quotient | The result of the division. |
| Remainder | The amount left over after dividing. |
Sub-topics
Operations on Numbers - Division (Word Problems)
In word problems, look for keywords like 'distribute equally', 'share', or 'each' to identify that division is required. Always divide starting from the left-most digit of the dividend.
Examples
Example 1
Tricks and Shortcuts
When dividing any number by 10, the last digit is always the Remainder, and the remaining part of the number is the Quotient. For example, 782 ÷ 10 gives a quotient of 78 and a remainder of 2.
Common Mistakes
Incorrect Remainder: Always remember that the Remainder must be smaller than the Divisor. If it is larger, your quotient is too small.
Practice Questions
Easy Questions
- What is 900 ÷ 10?
- Divide 100 by 1. What is the result?
- If 0 is divided by 25, what is the quotient?
Medium Questions
- There are 225 apples. If they are packed in boxes of 15, how many boxes are filled?
- A wire of 480 meters is cut into 20 equal pieces. Find the length of each piece.
- Divide 390 by 13.
Hard Questions
- A total of 864 students were divided into 24 groups. How many students are in each group?
- If 18 chairs cost 900 rupees, find the price of 1 chair.
- Find the quotient and remainder when 758 is divided by 12.
Revision Summary
Division is essential for equal distribution. Always remember: Dividend = (Divisor × Quotient) + Remainder. Knowing tables up to 30 makes division much faster.