It is best to root any type of plants cuttings in smaller pots - for a single stem, 2" is best, 4" at the most. A small cutting has no use for several inches of wet soil around it, and it could end up rotting, not rooting. Watering should be done when it needs it, not on a schedule. I am sure you stripped the bottom leaves, exposing at least one node?

Repot into something smaller, a light soil mix is best, or some regular potting soil mixed with perlite and root bark. Put it somewhere warm and bright, but not in direct sun. As for watering, you want to keep the soil damp, not soaked, and don't let it dry out - you will have to check it daily to be sure because small pots can dry out quickly, that is why I keep my cuttings on my kitchen windowsill over my sink, cause it is the one place I am sure to be at least once every day.

Carnosas root pretty easily, though sometimes slowly, but it will probably do fine. Down the road when you start to see some new growth, you can repot into something a bit larger.

How come you didn't get the whole plant???