I accept and appreciate you conclusion that this is not intuitive and clunky....I have thought considerably about how to address this....however...You misunderstand. I was not talking about your notation. I was talking about the intuition behind it. Your notation is trying to give a representation to a division that is not happening. The idea that the result of the division is that you place the numerical quantity into a dimensional space is how you are representing the fact that you are assigning division by zero the result of the original numerical quantity. The result is equivalent to the division simply not happening. That is incontrovertible, regardless of what your notation accomplishes or the actual process by which you arrive at that result.
0-0...is an acceptable act. That does occur.
The act of placing a symbol denoting the absence of value into a dimensional space....is possible.
(0) = the absence of a numerical quantity
(_) = a dimensional unit
(0) = an absence of numerical quantity "placed" into a dimensional unit...then all subtracted except one.
It did occur....."What am I missing" this seems perfectly plausible to me?
Thanks...I apologize for continually misunderstanding you....