Let me put my perspective (may not be the answer) though we don't support maths as vertical but never mind -

say you have a number like .33333333....... where 3 is repeated infinitely but is a defined number, say you have a number which is equivalent to the number of atoms in the universe which is infinite but a defined number.

When we come to 1/0 its undefined number as it is not a capability issue but number does not exist.

Love to receive the perspective of others :)