What to do with brown, tall stalk

[1dhollister]

I have a potted orchid from a king soopers that when the flowers died off, the stalk turned brown and dead(?) - the leaves on the bottom are doing great - do I cut this thing off and hope for another, or leave it in place? Anything I can do to encourage another shoot/stalk? Thanks so much in advance for any advice - I know nothing about this (clearly.)