I'm afraid your post won't get much notice here, buried a few comment layers deep off the front page. It's unfortunate that you didn't provide this background with your question, because it would probably have led to a more interesting discussion.
Anyway, I think it has been sufficiently pointed out to you that the universe will come to an end if you equal divide by zero to zero. However, I do feel your frustration. I too work on reporting tools which have very unreliable inputs and making sure the program catches all the errors takes up a large chunk of my time. I have much respect for your position to try to cater to anyone.
Yet it would still be a very bad idea. You just can't know what people will do with your statistics, even though you don't think they are important at the time you make them available. Most likely they will make decissions based on your statistics (otherwise why would they want them) and when they're not correct things can go very bad.
As others pointed out, there are plenty of occasions where zero will be an acceptable solution, but this should always be a conscious decission.