Quote:
Originally Posted by BillyB
... if I ask you to explain 1/2=.5? You would most likely reply that I am splitting one thing among two groups so they each get a half. That works 99.9999999999% of the time from I understand. It breaks down at 1/0. When I think about 1/0 I ask if I’m dividing one thing by no things then I should still have 1 thing but I can’t because we have other rules like multiplying both sides by the denominator which is why the original rule breaks down. Maybe my theory is broken but that is why I am here. To discuss it and find out.

I think you are looking at division incorrectly.
1/2 is how many times can we cut things of size 2 from a thing of size 1.
6.4 / 1.7 is how many times can we cut things of size 1.7 from a thing of size 6.4.
1/0 is how many times can we cut things of size 0 from a thing of size 1.