"No, it isn't. It can be but usually isn't. It depends on the degree of infinity. Usually it is considered 1. You need some advanced calculus."
Compare the above with the following statement:
"Yes it is, but it can't be, but usually always is. It depends on how aware of infinity you really are. No one needs calculus."
Which is completely absurd, and is therefore the basis of most of the most advanced forms of modern creative accounting. In fact, all this proves is that infinity is most definitely not a constant value, and trying to use it as one can cause all manner of problems. Trying to fiddle with the rules of infinity can be hazardous to your health.
If one person says infinity divided by infinity is infinity then it is true for that person, and if two say it so it is for them, and if others disagree then for them it is that way, so there is nothing to argue about if you have enough intelligence not to do so. Too few do.