A simple question.

[Zenith]

Yes, it would be infinitely long (equal to 0.333...)

Whether a metre long segment can be split into three equal parts is probably not something that this sort of maths can sort out. Firstly, although we are splitting 1 segment, that 1 segment is made up of trillions upon trillions of atoms. If those atoms were arranged in a perfect order, and were of an amount divisible by three, then you could theoretically split the segment into three (each piece having the same amount of atoms).

Yeah, except if the number of atoms that form the stick is not divisible by 3