# What is 5 divided by 0?

##### 1 Answer

Undefined.

#### Explanation:

Division by

Suppose we attempted to assign a value to

Then multiplying both sides by

#0 = 5#

Since this is false, there is no such value

**Footnote**

Why "almost always"? Are there any exceptions?

Suppose we try to add an object to our number system called

We can use it to provide the value of a function where it would otherwise have a vertical asymptote.

We can perform limited arithmetic on it:

If

If

But expressions like

The expression

This object