A device for hand-driven operation of a guided wheel arranged on a steering gear is pivotable about a steering axis perpendicular to the wheel's axis of rotation. The device includes first and second handles, first and second coupling devices respectively arranged thereon, and a power transmission train coupled to transmit traction power to the second coupling device via coupling points for transmitting handle movement to a drive device cooperating with the guided wheel's hub. The power transmission train extends from the first coupling device via deflecting elements, thereby modifying the extension direction of the train, in a second power transmission section to the second coupling device such that the coupling devices move the coupling points of the train on substantially linear drive paths approaching and absenting of a symmetrical plane of guidance which is oriented in a perpendicular manner in relation to the axis of rotation of the guided wheel.