Lets talk..what actually happens when you remove your braids..first things first..please know where your own natural hair ends, so you know where to cut the braids. You dont want to cut your natural hair along with the synthetic braids. Once this is done and you have cut your braids, then read on.
For faster removal, please pull apart two of the 3 leg. This will unravel the braids like a rope. Continue to do this almost all the way up. Eventually you can pull down on the braid and it will slip right off. Once all of your braids are removed, depending on your experience and how fast you are. Then we are ready for the next part.
You will get alot of buildup at the base of the braids like the picture suggests. It will be dandruff and dead hair and dust. This will need to be combed out before you shampoo your hair. Please remember that because you havent brushed or combed your hair for however long. It may look like alot of your hair has been lost, when you comb your hair out. Naturally our hair sheds everyday, its completely natural. Unless you got braided by the worlds tightest braider, which made more of your hair shed than normal. Then you shouldn't worry.
You can apply some conditioner to the roots, and gently comb out the muck from each section, before you do the next part.
Once your entire head has been combed out from the roots and all the shedded hair etc is removed. A lovely deep condition would be great, then a shampoo and conditioner. Depending on your hair texture you can opt for a leave-in conditioner with some oil or a light water based leave in serum or conditioner. Then you go back to your normal routine.
Take care :)