The invention relates to a device (1) for separating individual, two-dimensional, flexible objects (2a, 2a) from the lower side of a stack (3) of such objects (2, 2a) and for conveying the separated objects (2, 2a) away from the stack (3). The device comprises a stack space (4) with a support region (5), and support means (7a, 7b 21) which support the stack (3) from below in the support region (5), wherein the support means comprise a support roller arrangement (7a, 7b, 57a) of a plurality of support rollers (8). The device further comprises at least one separating member (19) for separating the objects (2a) from the lower side of the stack (3) in the support region (5). The support roller arrangement (7a, 7b) is part of a roller guidance device (6) and is translatorily movable to and from between a support position (SP) and a release position (FP).