What’s stopping mathematicians from defining a number for 1 ÷ 0, like what they did with √-1?

Question

What’s stopping mathematicians from defining a number for 1 ÷ 0, like what they did with √-1?

In: Mathematics

Answer 1

Division is about sets of things.
4/8 is 4 things spread evenly into 8 sets.

10/2 is 10 things spread into 2 sets.

1/0 is 1 thing in no sets.

That can’t be defined.

You can’t have no sets of 1 object.