1) 1/5 is not an increment of 1/4.

2) The CLOSEST I've seen to that level of accuracy would be the Unity station with the protractors, and even then it's not going to be totally accurate to fractions of a degree.

Are you programming moon shots for NASA or racing 1/12? I'm all for getting my car set up as accurately as I can, but a quarter degree "accuracy" is probably not a realistic expectation.