Discharge device for discharging a container containing viscous substances and having an elastic shell material, has a winding roller, a counter pressure roller, an actuator for rotating the winding roller and a control part for controlling the actuator. The inner part of the winding roller is hollow and includes therein an attaching arrangement, where the shell material of the container to be discharged is attached. The shell of the winding roller has an opening, in which opening there is a lid part having a shape for the shell material of the container attached to the attaching arrangement. The winding roller is rotated so that the shell material of the container attached to the attaching arrangement is wound around the winding roller. The winding roller and counter pressure roller are pressed against each other so that the shell material of the container winding around the winding roller passes between the rollers.