From 20 plus years of dealing with broken bolts,
DO NOT USE A TWIST TYPE '' EASY OUT'' ON ANYTHING THAT IS SMALL (less that a 3/8 " hole in the broken bolt small) AND JAMMED,BOTTOMED OUT AND TWISTED OFF OR RUSTED IN PLACE!!!!!!!!!!!
I am so tired of drilling(and pounding) those things out. :banghead:
If it is stuck,a small twist type extractor will break before it moves it 99.9 % of the time.
If the bolt or screw got loose and broke in service,a lot of the time one of those will get it out.
If you break one off in a screw in a blind hole,the only thing that will drill it is carbide or diamond.The best way to remove one is with a edm of some type,or use a tig welder to burn it out.
Most of the time,someone takes a $20.00 job that I can make money on,and turns it into a $100.00 job that I don't really make money on,because of the increased time and tooling expense!So we both loose.
The advice of using something like a small screwdriver is sound,just don't snap it off in there for the same reasons.
When you get down to screws that small,any extractor type tool is easily broken,so please be careful,it will snap before you know it has happened.
A left hand drill bit might get it to unscrew,even if it is jammed.When it gets to the bottom,it might grab it as it breaks through and unscrew it.
But make sure whatever you try,that you get the drill started in the center and it doesn't walk to one side.Use a grind stone in a Dremmel or similar tool to flatten the broken end out first,then center punch lightly to make sure it is in the middle,then deepen it after you are sure it is centered.
Sorry for the rant,I spent about two days working trying to help out a good customer that was caught in the middle because someone messed it up before they called the shop!I think I made about minimum wage on that job,and that didn't even pay the power bill for the month!
Regards,Robert.