The invention relates to an apparatus for subdividing a fed tubular packaging sleeve into packaging units, having two displacer groups which are intended for constricting the tubular packaging sleeve, it being possible for the rear displacer group, as seen in respect of the movement of the tubular packaging sleeve, to be moved in the longitudinal direction of the tubular packaging sleeve, and the apparatus comprises a supporting element which is connected to the rear displacer group and is intended for supporting the tubular packaging sleeve. The supporting element allows the tubular packaging sleeve to be transported away reliably.