Yes, I'm in Daytona Beach ... we've been here since my husband got out of the military in 1973, he's been teaching at Embry Riddle Aeronautical University for 40 years and has finally decided to phase out his teaching career so next summer we are moving farther south to be closer to my sister and brother in law. We've seen many changes in the Daytona Beach area in the 42 years we've been here.
Regarding your Peace Lily. I'm not sure if the brown stalk will take root as I've never seen anything like that on my Peace Lily plants, but it won't hurt to try if it still has any life in it. To divide the plant ... remove it from it's container, wash off all soil and pry the roots apart and then separate the stems.
I just went outside and took one of my small Peace Lilies out of it's container and washed off all the soil and divided it and took these photos so you can get an idea of what I mean ... and this is just the way I've always divided them, others may have different suggestion and advice.
Photo #1 Clump with soil .......................... Photo #2 Clump with soil washed away
Photo #3 Another view of the clump with soil washed away
Photo #4 Clump divided in two ...... Photo #5 Divided into four which I can transplant separately
I actually could have divided a couple of the clumps even more. In the photo below I annotated with arrows (you'll have to look close cause they aren't very visible) on the two clumps on the left showing where I can either cut or pull them apart to separate them even more. The third plant in the middle I don't want to try to divide anymore and the fourth, very tiny plant on the far right is just a stem with a tiny piece of bulb/rhizome and one root but it would do okay in a tiny pot but I think I'll put it in my terrarium until it gets bigger.
In this photo of the two smallest plants, I've annotated where new bulbs are forming.