Remove the aloe vera plant from its existing pot. Shake gently to remove soil from the roots of the plant. Remove the soil from the original pot.
Cut the pups, or offsets, away from the main root using a sharp knife.
Set the pups and the main plant on newspaper to heal over. Place the cut sides up to expose the roots to air.
Allow the pups and the main plant to heal for two days.
Place 1 inch of pea gravel in the bottom of the original and new containers. Fill the remainder of the pot with cactus potting soil.
Use a garden spade or spoon to dig a hole in the soil slightly larger than the roots on the pups and original plant.
Center the pups in the holes and cover with potting soil, pressing down with your fingers to firm the soil. Place the plants in a sunny location.