A storage device includes a nonvolatile memory device; and a controller configured to, sequentially receive first read commands and a first write command, the first write command being associated with first write data, slice the first write command to generate a plurality of sub-commands, slice the first write data to generate a plurality of sub-data elements, and alternately transmit, to the nonvolatile memory device, at least one read command of the first read commands, and one sub-command of the plurality of sub-commands and one sub-data element of the plurality of sub-data elements.