[null and void]

But like others have said, why try and kill part of your own soul (as in Voldie repeatedly trying to kill Harry) then?

Perhaps he divided his soul too many times and needs part of it back to fully live? He did so want Harry to be there, and alive, at the end of GoF. Was his plan to recover his soul fragment as soon as he had a body again?

[retrokitten]

I don't think he can recover it if the vessel is destroyed. Remember how Harry destroyed the diary and Tom Riddle was gone? So I would assume (I know, never assume, especially when dealing with magic) that if whatever the bit o'soul is contained in is destroyed then so to is that bit o'soul.