You're just not allowed to divide by zero, it's defined as having 'no meaning'. You can, in calculus, talk about how something behaves as a variable approaches 0 or infinity, which can often basically amount to 0/0 or ?/? but that only work with variables involved. 1/X ->0 as X->? and ? when X=0, but you never actually get there, some series will converge, others will diverge, etc, like y=[X+1]/X^2 as X->0 will approach ? and as x -> ? will approach zero, you wouldn't actually plug in [0+1]/0^2

You can get spurious proofs this way too

A=B, B=C, thus A=C
0x1=0
0x2=0
thus 0x1=0x2

or the other end of nonsense
A=B thus AC=BC and A/B=1
Next, if AC=BC then A/B=C/C... and of course both =1, but...
let C=0
A/B=C/C=0/0 or 1/1? which is it? 0/0 or 1/1? Well it's 1/1 and that's why the property of equality explicitly states that while A=B thus AC=BC that A/C=B/C is true unless C=0

So, as has been mentioned by others and the net, its undefined, there's the quick walkthrough on why, anything divided by zero is not allowed and anything divided by infinite depends on the circumstances because infinity isn't a number, its something you approach, so something divided by infinity only equals zero if the denominator is approaching infinity faster than the numerator is, X^2/X doesn't equal zero when X approaches infinity, the numerator gets bigger faster so it approaches infinity.





Math and late at night are usually bad ideas, I've heard and believe from anecdotal experience that your brain handles math better earlier in your day, so better to set the alarm early then stay up late