Division is an inverse operation to multiplication and it works to form groups or distribute them evenly. This post will show how to operate both **exact and inexact division. **

When we are doing division, we can be given two situations: to form equal groups and be left with zero remainder (exact division), or to form groups with leftover elements (inexact division).

Let’s imagine that in a gym class, there are 24 students and the teacher has to decide which sport to play.

The class could play…

Soccer Basketball Tennis

with **11** players per team with **5 **players per team in pairs of **2**

Handball Baseball Volleyball

with **7** players per team with **9** players per team with **6** players per team

So that **no** student is left without a team, the teacher must decide between playing tennis in pairs or volleyball. Those are the only two options that would form equal groups with no students left over.

They are **EXACT** **divisions**.

While if the teacher decides to play football, basketball, volleyball or handball there would be children left out.

The examples with children left out are **INEXACT**** divisions. **

Therefore:

- A divison is
**exact**when the remainder is**zero.**The dividend equals the divisor multiplied by the quotient. - A division is
**inexact**when there is a**leftover remainder.**The dividend equals the divisor multiplied by the quotient plus the remainder.

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### Learn More:

- Practice Dividing with and without Remainders
- What Is a Division? Basic Concepts
- Division Exercises: Learning the Concept of Division
- Prime Numbers: Do You Know What They Are?
- Learn to Divide by One Digit with an Example

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