Re: Broken 10-32 tap.
First question I have is how many flutes were on the tap? The drill that has been mentioned is a monarch or master drill, used for drilling hard material. If you have something that you can get a lot of spped out of the drill is your best bet. If it is a 2 fluted tap get an extractor, made by Wilton I believe, let the hole soak with Krol or another very good penitrating oil first. The proper drill size for this application is a 9/64 which will allow the edges of the tap to break away as you go into the tap, be gentle and you should not have any problem, drill a little the blow out the hole and repeat, don't leave any little pieces of the tap in the drilled hole as it will chip the drill. Hope this helps out. If you need any further assistance PM me.