a method and device for the winding up of a moving web of paper on a reel spool , as large a part as possible of the developing wound roll having a high degree of winding hardness , characterized by the fact that a relatively soft intermediate layer is formed between the wound roll of high winding hardness and the winding core . this is achieved in the manner that , during a short initial phase of the winding process , it is ensured that the winding hardness is relatively slight in the innermost layers of the wound roll , whereupon an immediate transition to a relatively high winding hardness is effected which is being substantially maintained during the rest of the winding - up process . alternately , the relatively soft intermediate layer can also be created in the manner that the reel spool has a soft covering on a metal reel spool body .