You can't divide a number that goes on forever. Infinity is a number that is not physically countable.
~ @Khafra
It can be argued that although not physically countable to current human understanding, there are still methods to divide such a number. Science and mathematics may not have made it to the point for which it is possible for us to do so, but it cannot be denied that such a development may occur in the future. And if such a development did occur, it can be deducted that the result of this division would produce infinity again... and again.. and again, no matter what positive integer it is divided by. To sum up my point, of course infinity is not physically countable or dividable as of this time, but logical reasoning tells us that if there were some way to do so, the result would have to be infinity.
