Division by 3 does not exist

Think about it... how can you have 3 equal parts of an object? The decimate representation is impossible and one side always has to be bigger then the other. This is also why there is no such thing as 360 equal degrees in a circle as one degree has to be off by a little bit... There are no 360 numbers that will add up to 1 whole object either.

Re:1

Try getting exactly cm3 of water and we will talk.

Divison is impossible if you want perfection. It only works because it appears to be close enough for your eye to detect or whatever tool you are using. Not only do you start off with a unit that is off, say 3cm of water, but dividing it is rather useless. Im just saying division by 3 outside of paper doesn't really exist.