Can you divide by 0?

[Mirror]

I see what you did there...

[Liquid Malfunction]

[Footmen]

Only Chuck Norris knows

[Pterosaur]

Lol, looks like that house got busted by the /0 pwnage

Also, that house looks like it got hit by one of those MASSIVE mario bullets that you have to dodge

[Benny Lava]

So using the Rearranging the formula rule. Bringing 0 and ∞ to the other side would require you to times all sides by 0 and ∞

Making

(1/∞)*∞*0 = ∞

Making The ∞'s cancel out leaving 1/(1*0) = ∞

Final product :

1/0 = ∞

First of all ∞*0 does not equal 0 or ∞. In fact ∞*0 is undefined. So what you are left with is:

(1/∞)*∞*0 = undefined

With the ∞'s canceling out, leaving 1/(1*0) = undefined.

Final product :

1/0 = undefined.


With that said, the limit of any number divided by x, as x approaches 0 is ∞. But as soon as x = 0, it is undefined.

Sorry


edit:
Adding on to what you said by taking 500 / .01, then you do .001, and so on
Then you go to state that 0 = 0.00000000000................. (infinite zeros), which is true.
But you had been dividing 500 by (some number of zeros)1. And since 0 is not equal to 0.000000000000........infinite number of zeros......1 your argument isn't valid.