Stop watering the plant immediately. Allow the soil to dry completely before watering again. The pot feels light and dry when the soil is completely dry. Aloe vera is a succulent, so it is part of the cactus family and needs very little water. Do not let the aloe vera sit in water.
Cut one or two healthy leaves from the aloe vera plant using a sharp, smooth knife. Leave the stems to dry for a day or two to prevent any root rot.
Press the aloe vera leaves in fresh, well-draining soil so you can start a new plant. Care for this new plant by watering it every two or three weeks in the summer and once a month in the winter. Allow the soil to dry out completely before watering. Aloe vera does not need fertilizer.