This paper presents our work toward an operating system that manages the resources of a reconfigurable device in a multitasking manner. We propose an online scheduling system that allocates tasks to a block-partitioned reconfigurable device. The blocks are statically-fixed but can have different widths, which allows to match the computational resources with the task requirements. We implement several non-preemptive and preemptive schedulers as well as different placement strategies. Finally, we present a simulation environment that allows to experimentally investigate the effects of specific partitioning, placement, and scheduling methods.