Hello Cindi, if you can wait a bit for mid Spring, you can cut off the upper part to the point there is the brown portion, allow just to callus a bit, and then plant in a well draining media. You may also want to look at the condition of mommy plant at the base, if there are offsets, you can easily separate them, or leave them be for awhile. I would put the plant in part sun, to allow it to recover for a few days.
I always allow my succulents to callus before I repot, except if it is really warm already and the plant is in very active growth and roots are showing. But right now, your plant will just be about to return to its active growing phase, and will still want to generate roots, so allow callus time, so the injured part heals.