Help. The taps broken!!!!!!!!!

[LT65]

Baz,
There are tap extractors you can buy for extracting broken taps, I have not been all that successful with them but may be worth a try. They are a pronged tool that goes down the flutes of the tap then you use a tap wrench to turn them and the tap hopefully. Failing this method spark erosion is then the best option.
Good luck I can feel your pain.

[OZVENOM]

There is a couple of ways to get it out being a tool maker does not stop me from breaking a tap now and then . you can drill a tap by using a carbide tip drill samer as you use on concrete you can sharpen it so it cuts the tap use rocol or trefolex to lube it. you have to get running true or it will just slide side ways.
The other way is normally used on bigger taps but it works on small taps as well it depends on the location of the tap and weather you can put heat on it. what you do is get oxy cutting torch with the smallest cutting tip you have and the pricipal of this is that an oxy torch will not cut the metal until its hot enough so you heat the tap quickly and hit the cutting button which will blow out the tap but leave the rest pretty well intact its all about how much heat the steel can take before it starts to cut . you could also use a plazma cutter which works well also but most people dont have one.
Some time you just have to give it a go drill a bigger hole knock the tap out and braze it up and re drill and tap it.

I hope this helps i have used both techniques with success.
Regards oz.