Quote by cloud_sync
Anyone ever question why we haven't been able to established a cleancut, division system that overrides this phenomenon?

We have lots of ways to notate numbers. "2/3", for example, is a perfectly good notation for the number you get when you divide 2 by 3.
Decimal notation for real numbers is taught because:
 It's simple
 It fits well with decimal notation for integers
 It's very easy to trade precision for simplicity. (e.g. just write the first few digits)
Most people don't have any reason to learn notations other than a mix of algebraic expressions with decimals.