Why does dividing by zero give us no answer whatsoever? I've heard about this and I know that division can be used in one way like this:
For example, if I want to do $30$ divided by $3$, how many times can I subtract $3$ from $30$ to get to $0$?  Well, I can do it this way: $30-3=27-3=24-3=21-3=18-3=15-3=12-3=9-3=6-3=3-3=0$As you just saw, I subtract $3$ from $30$ 10 times to get to $0$.  So, $30$ divided by $3$ is $10$.  Well, what if I divide by a negative number or what if I divide a negative number by a positive number?  Well, I do know how to solve $15$ divided by $-5$ this way.  Just do it like in the mentioned way, but $15$ will get bigger if I subtract $-5$.  So, what should I do.  That's easy; do it backwards by subtracting the opposite of $-5$, or $5$: $15-5=10-5=5-5=0$.  As you can see, I just did it backwards, and because I did it backwards, I need to subtract the number of times I subtract $5$, since it's the opposite of $-5$.  So, I subtracted $-5$ -3 times.  So, $15$ divided by $-5$ is $-3$.
As you have seen, I have used subtraction while doing division.  Let's cut to the chase now.  What if we divided any number by $0$?  Well, this would happen: If I want to solve $10$ divided by $0$, I would just subtract $0$ from $10$ until I make the $10$ a $0$.  So, $10-0=10-0=10-0=10-0=10-0=10-0=10-0=10...$ and it just keeps going on and on forever.  So, this must explain why any number divided by zero has no answer at all.  Also, for right here, right now, I can say it's infinity since it just goes on and on.  So, is this why any number divided by $0$ never has an answer?  Good answers at the bottom down there, if possible!

It is not infinity, take your example. Splitting 30 marbles between 3 people equally, will be 10 each. How about splitting 30 marbles between 0 people equally? It isn't infinity, it isnt even defined
