We had a short circuit in our 3 burner stove this Winter. I pulled the whole unit after disconnecting the wires behind it. This was quite simple due to the cabinet mounted terminal block behind the stove.
In hind sight, I *think* I could have done this without pulling the whole stove out by removing all of the burners, the fid held in by four bolts, etc. but having it out resting on canvas and plastic to protect the carpet made it much easier.
Besides, it gave me an opportunity to clean it all up and vacuum out the areas under it.
Ultimately the short was caused by a sharp edge at the back of the unit under the burner or top face where wires ran to the switches. A little tape and some other protection and we were good to go again.