g'day theozfrog,

you could just simply leave it the old part won't interfere with the
new developing plant, later on when the old bit is realy rotted just
pull of all the old leaves for neatness.

or if you want to try and get more of the brom you could cut the old
section away immidiately above where the new pup is growing stick this
old section into some medium doesn't matter what as broms live from
the water that is in the cup they don't need a potting medium for the
most and will happily grow attached to a tree, and that old section
will likely grow a new pup. so you will double the plant, with some
broms you can repeat a couple of times but mostly only once.

their routine is to flower and die so the new pup(s) will be your
flowers next year/season.

remember if you do this the new pup then stays attached to the old
root stock.



snipped
With peace and brightest of blessings,

len

--
"Be Content With What You Have And
May You Find Serenity and Tranquillity In
A World That You May Not Understand."

http://www.users.bigpond.com/gardenlen1