Left hand drill bits (cut in a counter-clockwise rotation) are wonderful for fasteners that have been over tightened in a blind hole and the head broken off. If the screw/bolt has the head broken off when one was trying to unscrew it (rusted/binding) they help but success is less likely. If you can get to the backside (bottom end of hole) drill with a right hand bit from the back side. Most drill presses will only run clockwise, use a smaller right-hand bit to drill a centered pilot hole then a left hand bit close to the minor diameter of the screw in a reversible drill. The pilot hole will allow the cutting edges of the left-hand bit to easily bite the broken screw, and when enough of the screw is removed to ease it's grip in the threaded hole , the lefty-loosey rotation will back the broken end out. Only press down hard enough for the drill to bite but still back out easily.