Device for separating cups of a stack of cups, comprising a) a quiver with a round quiver opening for receiving cups of a stack of cups; and b) a socket with an upper base surface, a lower base surface and a round socket opening extending from the upper to the lower base surface for receiving cups of a stack of cups, the quiver being fixed to the upper base surface of the socket in such a way that the round opening of the quiver is arranged around the socket opening; c) a slide for separating cups of a stack of cups, wherein the slide is movably arranged on the upper base surface of the socket, wherein, in a rest position of the slide, a lower support element of the slide is configured to provide a lower support surface for a lowermost, last cup of a stack of cups, and wherein, in a separation position of the slide, the lower support element of the slide is configured to provide no lower support surface for the lowermost, last cup of a stack of cups, and an upper support element of the slide is configured to provide an upper support surface for a penultimate cup of a stack of cups, characterized in that an elastic membrane having an opening is arranged on the lower base surface of the socket, wherein the opening of the elastic membrane is arranged around the socket opening and is smaller than the socket opening, wherein the elastic membrane is configured to provide a support surface for cups of a stack of cups, wherein the slide is configured, during a movement from the rest position to the separation position, to push a stripping element of the upper support element between the last and penultimate cup of a stack of cups and to separate the last cup from the penultimate cup, so that the last cup falls by gravity through the socket opening into the opening of the elastic membrane and is held by the elastic membrane. a) a quiver with a round quiver opening for receiving cups of a stack of cups; and b) a socket with an upper base surface, a lower base surface and a round socket opening extending from the upper to the lower base surface for receiving cups of a stack of cups, the quiver being fixed to the upper base surface of the socket in such a way that the round opening of the quiver is arranged around the socket opening; c) a slide for separating cups of a stack of cups, wherein the slide is movably arranged on the upper base surface of the socket, wherein, in a rest position of the slide, a lower support element of the slide is configured to provide a lower support surface for a lowermost, last cup of a stack of cups, and wherein, in a separation position of the slide, the lower support element of the slide is configured to provide no lower support surface for the lowermost, last cup of a stack of cups, and an upper support element of the slide is configured to provide an upper support surface for a penultimate cup of a stack of cups, characterized in that an elastic membrane having an opening is arranged on the lower base surface of the socket, wherein the opening of the elastic membrane is arranged around the socket opening and is smaller than the socket opening, wherein the elastic membrane is configured to provide a support surface for cups of a stack of cups, wherein the slide is configured, during a movement from the rest position to the separation position, to push a stripping element of the upper support element between the last and penultimate cup of a stack of cups and to separate the last cup from the penultimate cup, so that the last cup falls by gravity through the socket opening into the opening of the elastic membrane and is held by the elastic membrane.