Since this question has been popping up on various forums lately I decided a thread like this is in order for future reference.This isnt the only way to do this nor neccisarily the best but it does work well. Luckily, these are about the easiest scorplings to raise so long as you do the basics correctly.......
When the female gives birth the young will remain on her back until they molt into 2nd instar. At this point there is really nothing to do but wait. There is really no need to feed the Mother at this point as they will often refuse food. It will take about a week or 2 (depending on temps etc) for the 1st instar to molt. As long as the substrate is moist everything will be fine.
After the young molt and leave the Mother you can separate them into delicups like this. You can keep the young together as they arent the cannibalistic type as many Buthids are. These delicups seem to work better as they restrict ventilation which keeps them humid. I use moist peat moss with a bottle cap for water.
Note that many keepers I know will leave the young with Mom through 2nd instar and even 3rd instar. While I dont do this myself it is strictly a matter of personal preference.
After the young are gone, Mom will have a renewed interest in feeding again so be sure to give her plenty of food in order to replenish herself.
When the young out grow their deli cup it is time to move them into a bigger container. A plastic shoe box works great for this. Just drill or melt some air holes and you are in business. This works better than a kritter keeper as it also keeps the moisture inside keeping them from getting too dry