I would just visualize (on a map) where I am and where I want to be in relation to the VOR, and the approximate course to get there. I'd then look at my heading and turn the shortest way to get on that course.

It helps to understand the difference between accurate and precise and to always seek accuracy. Accurate (here) means correct, not erroneous: precise means exact, not approximate. Fixation on precision is often the cause of gross errors. My $0.02.