Fine Line Masking Tapes should always be applied in one continuous strip to ensure you get the best finish. Sharply defined edges are much easier to achieve with one piece of tape rather than trying to overlay different pieces.
The best way to do this is to cut your sections to the desired length leaving some room at the end, Then, you can apply the tape slowly by laying it in the correct placement for the job and pressing it down as you move across the surface.