Press on the sides of the pot if it is flexible to loosen the aloe. If it is not possible, grasp the aloe as close to the base of the plant as possible and rock it back and forth gently while firmly and pull gently outward at the same time.
Pull the aloe plant gently from the pot and set the pot aside.
Use a sharp knife to part the various plants within the root bundle. It is fine to cut the roots, as aloe is virulent and hardy.
Slice into the very surface level of the root bundle, particularly if you are not separating the plants. This will allow the plants to send new roots outward instead of being tangled into the existing root bundle.
Place potting soil in the bottom of the largest pot until the large plant's top is an inch or so below the top of the pot when the root bundle is set on top of the soil.
Hold the plant upright as you pour potting soil around the aloe plant.
Pack the soil down around the edges of the plant, and add more soil if the packing reduces the soil level too much. You should press firmly in order to firm the soil up enough to hold the plant upright.
Add water so that the soil is well dampened, but do not pour so much that there is standing water in the pot. Aloe is drought resistant, and does not like over watering.
Repeat the potting steps with the smaller aloe plants in individual, small pots.