you're still dividing nothing by nothing. 0/anything will be zero too...
i don't think you quite get the concept of mathematical infinity- that is, why x/0 is always undefined
things can approach infinity- e.g. a cube root graph's domain, or the energy required to move mass at 1 C, but infinity itself isn't a number that can be met at the end of an equation. math models reality, and infinity as a thing cannot be reached in reality, only approached. when you divide by zero, the answer would indeed be, by technicality, a form of infinity. however, due to the fact that things in math cannot directly equal infinity, x/0=undefined. there's a reason that people in the field of theoretical physics still aren't 100% about black holes actually having singularities, considering whenever singularities show up in a model, it's due to an error in calculation. the reasons for this stuff begin to become apparent when you learn about graphing in algebra 2 and beyond. y=1/x has no spot where x can equal zero, as y would have to reach infinity.
there's also the logical issue of how we model infinity. the idea that division is simply taking a portion out of a value is only partially accurate. you can divide a potato in 2 following this logic, but i'd like to see you try dividing it by 1/2.
the reason i'm so focused on driving home that x/0 is not infinity is because if it were, then 0/0 could equal 0. but that's simply not the case.
