No photo?

HU, you won't get any answers until we know what kind of plant it is.

its a succulent, not sure what kind

I would remove some of the leaves from the bottom part of the stem where it broke off, leave it to callous for a day or two, then plant it in a well draining soil(example-50% cactus succulent soil/ 50%perlite) Water it when you notice the soil is dry like you would a full grown succulent. It will begin to root in its new pot on its own. As far as the plant you have left in the pot just keep watering it as you normally would. It will be okay. If I were you I would pull the 2 leaves left and propagate them with the others you took off the broken piece. Let the leaves callous for a day or two, lay them on top of some soil, and they will start to grow roots. I usually mist the soil whenever I see it's drying out. New babies will grow from the leaves you pluck as long as you pull the leaf off cleanly. Or you can leave them on the main plant its up to you:)

I'm sorry for any confusion! I am one of those people that does mist until I can tug on the plant and there is some resistance aka new root growth. Then I will begin to water. This works for me and I have never had a problem with rot. You can use a rooting hormone powder to speed the process up, but succulents really don't need it. They will root on their own. Glad I could get someone else to answer for you:)

I probably should have mentioned that it makes a difference where you live/what your climate is. Jessica, you are in California and I am in wet and humid Florida. So misting for me is too much water. That example you have there looks really good!

So true about climate!!

Thank you Crenda! :)