Abstract: A device for winding a continuous strip of roll-fed material, reeled off a mother roll, sequentially onto several winding tubes. The winding tubes are mounted on rolling spindles provided on a rotatable carrier mount that permits timed angular rotation of the winding tubes through various stations in which the winding tubes are processed and wound with material. The rolling spindles are preferably mounted at essentially identical angular distances. Two drive units drive the rolling spindles individually or in groups, so that neighboring rolling spindles are operated by different drives. Accordingly, the rotational speeds of winding tubes sequentially entering a winding station may be independently controlled. The winding device thus can achieve greater winding speeds than other prior art winding devices. A glue application device that applies glue helically around the winding tubes is also provided.