My dead front tooth broke off while eating, what procedure can I do to save the tooth and avoid extraction?

If there is enough solid tooth structure remaining above the bone level (solid meaning no decay), then it shouldn't be a problem to rebuild your tooth. If by "dead", you mean that tooth has had a previous root canal, a post, core build up and crown would be needed as well. If the tooth hasn't had a root canal, the pulp is not exposed and it's not painful, you might only need a bonded build up and a crown.

I'm assuming when you said "dead tooth" that you meant that it has already had a root canal.  If it hasn't, then that would be the first thing you would need to save the tooth and avoid an extraction, bridge or implant or removable partial denture.So, if it has  had the aforementioned root canal, then you would most likely need a post and core to reinforce the structurally weak tooth, and then a crown.This is a very common occurrence and almost all dentists should be able to take care of this problem for you.Good luck!

Depending on the amount of tooth structure remaining , I would recommend having a post and core crown placed. Provided the tooth has had a root canal done, a post will be placed into the root space to provide additional strength. The missing bulk of the tooth is then rebuilt i.e a core is built up, reshaped and a crown can then be placed which matches the rest of your teeth in colour and shape. 

The previous 2 docs gave you good counsel....root canal, cast post and core, crown  (assuming that the tooth is  fixable.)  I do this every single week and it works out great!