Abstract: Disclosed herein is a process for recycling carbon and a hardly soluble alkaline earth sulfate from a leaching residue, including the steps of contacting in an alkaline earth metal contacting step a lithium battery material with an alkaline earth metal including material in a solvent yielding an alkaline earth metal contacted lithium battery material: leaching in a leaching step the alkaline earth metal contacted lithium battery material in sulfuric acid yielding a leaching solution and the leaching residue; separating in a solid-liquid separation step the leaching residue from the leaching solution; suspending in a suspension step the leaching residue in a solvent yielding a suspended leaching residue: contacting in a carrier contacting step the suspended leaching residue with a plurality of at least one type of a carrier body; and separating in a solid-solid separation step at least a part of the carrier-body agglomerates from the suspension.