Explain why division by zero is not allowed in our number system.

Step-by-step explanation:

Consider the provided information.

Division by zero is not defined in our number system.

You can understand this if you think about how division and multiplication are related.

For example:

4 divided by 2 is 2 because  2 times 2 is 4

Now 4 divided by 0 is x would mean that  0 times x = 4

But there is no value for x so that 0 times x =4. Because 0 times a number is 0.  

Or

4/0 means Into how many groups of zero could you separate  four blocks?

It doesn't matter how many zero groups you have, as they'd never add up to four.

0+0+0+0=0.

You can add zero billions time still add up to zero.

That the reason behind "division by zero is not allowed in our number system."