Avoid pulling the stems as the leaves may easily snap off. Instead, squeeze the sides of the pot to loosen the soil, turn the pot on its side and gently pull the plant out.
Check the offsets to make sure they are at least a couple of inches tall before separation. Use this opportunity to check the overall health of your plant.
Smaller offsets can usually be pulled off the plant without much hassle. Larger ones will require a sharp knife to separate them as cleanly as possible.
Fill the container with potting mix about halfway, then make a hole in the center for the main plant. Add extra soil into the gaps around the roots until the soil line matches where it was previously.