If in a dream you feel vibrations of the drill, then in reality you are obviously disturbed by a certain circumstance which you are not able to affect. If annoying buzz of the drill reaches you, then in real life to you bothered to deal with minor problems which take away so much time, without bringing moral satisfaction.
Be sure and keep any other thoughts out of your mind before drifting to sleep as a cluttered mind can decrease the chances that you will remember your dreams upon waking. Also, focusing on remembering your dreams upon waking in the morning is another very important thing. This sounds very easy, but is often hard for some to do. Interpret a dream by "dictionary dream of interpretation"
When you very first wake up, simply think about your dreams. Don't allow your mind to drift off to other things, just lay there and think about the things you dreamt about the night before - dictionary dream meaning.