Abstract: The invention relates to a method for cutting up punching scrap running as waste from a punching device, in particular from a fine blanking press, by means of a waste-cutting device, in particular which is arranged as a progressive tool with respect to the punching device, wherein, by way of the waste-cutting device, the punching scrap is completely cut through perpendicularly to the running direction thereof at a cutting edge by a cutting knife and in this way punching-scrap portions are formed, wherein, together with the stroke of the cutting knife, at least one scrap web of the punching scrap that is spaced apart from the punching-scrap boundaries is cut through by at least one punch which is spaced apart from the cutting knife, preferably by at least two punches, in particular so that each punching-scrap portion is subdivided into at least two punching-scrap sub-portions.