Sorting is an important operation in database query processing. Complex pipeline-breaking operators (e.g., aggregation and equi-join) become single-pass algorithms on sorted tables. Therefore, sort-based query processing is a popular method for FPGA-based database system acceleration. However, most accelerators have a limit on the table width or the number of columns they can sort. This limit is often set by the width of the data path or the amount of BRAM present on the FPGA. In this paper we propose KeRRaS, an abstract sorting algorithm that enables existing sort-based query processors to support arbitrarily wide tables while offering scalability, preserving modularity, and having low resource overhead. Moreover, we present an implementation of KeRRaS based on morphing sort-merge, a resource-efficient FPGA-based query accelerator. The implementation behaves similarly to morphing sort-merge on narrow tables, and scales well as the number of key columns increases.