Returning to pgk pgk's question:
I would consider 0,5mm error across 80mm pretty good. The first drill was 4,5mm which gives a depth to bore ratio of close to 18:1. In my eyes anything over 10:1 is in the realms of gun barrel boring and should be treated with respect and care.
A drill is rather flexible, the flutes mean that there is a lot of missing metal from a hypothetical circular rod. If one cutting face is doing most of the work,either by poor sharpening of a bit of swarf, the drill will bend towards that face. Once the drill has deviated from its intended path it will continue on its own sweet way and nothing will bring it back on course. Put a larger drill down the hole and all it will do is to follow the hole. To prevent this happening you need a rigid drilling set-up (drill, milling machine or lathe), the best quality drills one can afford and clear the hole of swarf very frequently particularly if the hole is deep. If you see the drill wobbling as it drills you have lost control of the hole. In some materials, particularly plastics, drills can wander alarmingly.
To correct a wandering hole, a D bit might work (at least it is stiff) but it will need frequent clearing of swarf. However, if possible, start boring the hole out. Recently I tried to drill a 5/8" diameter holes through 4" of gun metal casting. The ends had been faced and I drilled from both ends starting, after using a centre drill, with something like a 3/16" drill. By the time I had used a 3/8" drill one hole had wandered by an 1/8". A potential disaster was averted by using a small boring tool. It took time and there was still a blemish on the bore.
Obviously there are ways of producing holes without these problems – casting, EDM and laser drilling come to mind – but these are generally outside our "capabilities".
JA