No, you can divide an infinite series by a number, or multiply it by a number, etc. I did so in one of my proofs.
(1/10 + 1/100 + 1/1000 +...) / 10 = (1/100 + 1/1000 + 1/10000+...)
True, but I meant that we aren't going to come up wih X = 1 after the division at that point, not that it's impossible to divide. Plus it was divided by 9, and when there are remainders it makes it a lot more difficult, then when they are divided by powers of 10.
