Let's try it this way.

1/9 = 0.111... as you have said. This can be easily demonstrated with long division.

2/9 = 0.222... Again, easily demonstrated with long division.

And we continue...

3/9 = 0.333...
4/9 = 0.444...
5/9 = 0.555...
6/9 = 0.666...
7/9 = 0.777...
8/9 = 0.888...

And now...

9/9 = 0.999...

Numbers are values, not processes. The operations we as humans or computers perform to approximate or determine the values are processes, but the numbers themselves are not.

You acknowledge that "you can never get to the end of an infinite number", then make your case against the proof based on getting to the end and placing a zero there. That is FAIL.

You fail at recognizing the difference between 0.999 and 0.999...

You fail at subtraction.

1 - .111... is not equal to .999...

Try this:
1 - .1 = .9
1 - .11 = .89
1 - .111 = .889
1 - .111... = .888...