Also, I guess the next question is, How and where did he get the new staff? I remember it was a very big deal when Gandalf later broke Saruman's staff. They don't seem to be too easy to come by...
Someone on another thread suggested that maybe Elrond helped him get one or make one when he went back to Rivendell after defeating the balrog.
And someone else suggested he just went to Tolkientown.com and picked up a fresh one..... ;^)
C'mon down to Tolkien town!