Method for operating a honeycomb storage system comprising: - at least one shelf having a plurality of storage units arranged side by side and above one another and accessible from an operating side to receive cartridges, whereby the storage units are designed such that on the operating side the cartridges can be removed from the storage units and can be inserted therein horizontally in a longitudinal direction, - a shelf operating device on the operating side of the shelf and - an order picking device, which is arranged on a front side of the shelf located opposite the operating side, and is assigned to a plurality of storage units used as provisioning storage units, whereby the provisioning storage units are designed such that cartridges located therein can also be removed on the front side of the shelf, characterised in that the order picking device comprises a plurality of order picking units in which cartridges can be placed, and an order picking cart which can move along the front side of the shelf, in a transverse direction relative to the cartridges and is designed to be able to approach all of the order picking units, whereby the order picking device also comprises a removal device which can be moved along the front side of the shelf in a transverse direction relative to the cartridges in order to pull cartridges out of the provisioning storage units and to insert cartridges therein, whereby, for the order picking, the order picking cart and the removal device are moved along the front side of the shelf, in a transverse direction relative to the cartridges, whereby the removal device pulls a cartridge out of a provisioning storage unit of the shelf and places it onto an order picking unit, and whereby workpieces removed from a cartridge are stored temporarily in the order picking cart and are moved by the order picking cart to the corresponding order picking unit, where the workpieces are then placed into an order picking cartridge set down there or a floor storage unit. - at least one shelf having a plurality of storage units arranged side by side and above one another and accessible from an operating side to receive cartridges, whereby the storage units are designed such that on the operating side the cartridges can be removed from the storage units and can be inserted therein horizontally in a longitudinal direction, - a shelf operating device on the operating side of the shelf and - an order picking device, which is arranged on a front side of the shelf located opposite the operating side, and is assigned to a plurality of storage units used as provisioning storage units, whereby the provisioning storage units are designed such that cartridges located therein can also be removed on the front side of the shelf, characterised in that the order picking device comprises a plurality of order picking units in which cartridges can be placed, and an order picking cart which can move along the front side of the shelf, in a transverse direction relative to the cartridges and is designed to be able to approach all of the order picking units, whereby the order picking device also comprises a removal device which can be moved along the front side of the shelf in a transverse direction relative to the cartridges in order to pull cartridges out of the provisioning storage units and to insert cartridges therein, whereby, for the order picking, the order picking cart and the removal device are moved along the front side of the shelf, in a transverse direction relative to the cartridges, whereby the removal device pulls a cartridge out of a provisioning storage unit of the shelf and places it onto an order picking unit, and whereby workpieces removed from a cartridge are stored temporarily in the order picking cart and are moved by the order picking cart to the corresponding order picking unit, where the workpieces are then placed into an order picking cartridge set down there or a floor storage unit.