A method of depositing sheets coming out of a sheet-processing machine includes decelerating the sheets and depositing the sheets of a main pile. Certain sheets are decelerated and fed to a second sheet pile. The system includes a device for decelerating the sheets arriving from the sheet-processing machine and for depositing the sheets on a main pile. A chain gripper system is configured to holdand decelerate a trailing edge of the sheets. The chain gripper system includes an adjustable gripper opening cam.