Normally, to remove such a broken-off bolt I will first soak it (usually overnight) with penetrating oil because it is likely to be corroded in place, which caused it to break while attempting removal.
Overnight, I'll go to the hardware store for a set of broken-bolt-extractors (often called "E-Z Outs"), and get a couple of drill bits of the appropriate size, like 1/8" to center-drill the broken bolt, using a new, sharp drill bit, then 3/16" to open up the top end of the hole a little more to fit the extractor. You'll need a tap-handle, too, to hold the extractor.
Then, the next day I'll drill the center of the bolt about 1/4" deep, then widen the hole at the top with the 3/16" drill, then heat the case at the bolt with a torch (propane might wrk, MAPP gas works better) to help things along, and then attempt to twist it out.
If this approach fails then you must drill the full length of the bolt (don't drill thru the case into the bottom of the engine, or it can weep oil later on) with the 1/8" drill, then successively larger step-drill sizes until the threads can either be broken free with an EX-out, or you have drilled the whole bolt away and are left with just its threads, which must be picked out. Then run a tap (#6mm x 1mm) into the hole to clean up the threads. If they are excessively damaged, then you'll have to drill the hole a little bigger to install a Helicoil insert, or the like.