In this video I show how to make a bolt drill guide, which was used in this video to remove a broken bolt which was deep in a hole    • How to remove a broken bolt in a deep...  

Obviously if you have access to a centre lathe you can easily drill through the centre of a bolt, so this video show how to so it on the lathe and also how to do it using a pillar drill.

Some more videos that might be of interest are

How to remove a rounded Allen head bolt https://www.youtube.com/watch?v=WDOWP
How to remove a stripped screw https://www.youtube.com/watch?v=_mTFQ
How to remove a broken bolt https://www.youtube.com/watch?v=_R1b8
How to remove a rounded nut or bolt https://www.youtube.com/watch?v=R5d0B
Screw extractors | Easyouts https://www.youtube.com/watch?v=SMrDY
Removing a broken bolt using a welder https://www.youtube.com/watch?v=aRrz
Remove a broken bolt using a left handed drill bit https://www.youtube.com/watch?v=FYvaP