I think you are getting two different processes mixed up. You can regenerate resin by immersing it in a casutic soda solution. The resin will split, about half will sink and the rest will rise to the top. You need to skim off the resin that rises and immerse it in a hydrochloric acid solution.
Once it has divided it is best to use two resin bottles, the anion in one and the cation in the other. That way you never have to split them again.