"THE RING" question

[Chancie]

No: HPFGUIDX 133131

Chancie:

Perhaps I mis-read something in HBP, but I was wondering
if anyone could point me in the right direction of something.

What happens to a Horcrux when it is destroyed?

When DD arrives at Privet drive, his hand is already
blackened, and dead looking, but he is wearing the
ring.  Wouldn't the ring have been destroyed when 
the Horcrux is distroyed?  And was it on DD's hand
when he distroyed it?  Wouldn't that be kinda...well.,
stupid to try and destroy something your wearing
at the time??  

Sorry if it was answered in the book, I'm on my second
read of it, so hopefully I'll find something, but until
then I would appreciate any thoughts, or a nudge in
the right direction.

Thanks,
Chancie

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