I've had this plant for many years, but now the stalk/stem/cane is dying...actually dead already, I think. How can I save the 6-7 plants growing from the main cane before I lose the entire plant?

I'm quite good with plants and I have had houseplants for many, many years, but I don;t know how to save this one. I mean I know it is too late for the main cane.