Geekosaurus said:
someonehairy-ish said:
But I haven't divided by anything, so they still exist as a pair of apples! Mind. Blown. Like I said, they just don't want to admit defeat. This is why I do literature and not maths.
For someone doing literature, you appear to be having a few problems with your semantics.
"... haven't divided by anything" is your problem.
Lets look at it through the way of multiplication, just for a second (I'm gonna skip using "apples" in my examples since other people have already covered it well, and just use the numbers):
Multiplying 2 by 0 (2 x 0) = 0, yes? That's easy to understand. But it you "don't multiply by anything", you're saying you're not actually doing anything to the apples. Semantics, yes, but that's what you're saying when you say you "haven't divided by anything".
Dividing by 0, however, is a completely different kettle of fish, and I'm not great at explaining, so I'll just use simple math here.

2 / 2 = 1
2 / 1 = 2
2 / 0.5 = 4
2 / 0.25 = 8
2 / 0.125 = 16
...
2 / 0.00390625 = 512
2 / 0.001953125 = 1024
etc.
etc.As what you're dividing by gets smaller, your result is bigger. So, as what you're dividing by approaches 0, your result approaches infinity.
Back to the apples... Imagine that the 2 on the left of those equations is how many apples you have, the number you're dividing by is how many apples you can eat a day. The result is how many days it'll take to eat those apples. If you can only eat a tiny amount a day, it'll take you a hell of a long time to eat them.
Finally, if you can't eat any apples a day at all, it'll take you forever to eat them.
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EDIT:
Space Lion said:
You can't divide by zero because zero is a lack of quantity. Everything is limited to the amount of times that you can divide it and how big or small you can possibly make the values. That is if you want a quantity for an answer. IMO any maths equation that comes up with the answer zero or infinity when a quantity was expected is an error in math or understanding.
This is a good quote, too. This is also why on graphics calculators, you can sometimes end up with infinity as an answer to a select few equations, but if you actually divide something by 0, it'll give you "undefined" as its answer.