You can't do arithmetic with infinity or divide by zero because you get problems with numbers equalling different numbers, with 1=2 as a common example.
But what if you say that 1/infinity and 2/infinity are two distinct zeroes that both sit on the same point? What if you do this to have a continuous line of different zeroes, in one to one correspondence with the reals but all intersecting the reals at only one point. The image shows the origin with two distinct equally located points, does infinite arithmetic work if you do this? Are there functions to turn one zero into another? how