Processors with an embedded runtime reconfigurable fabric have been explored in academia and industry started production of commercial platforms (e.g. Xilinx Zynq-7000). While providing significant performance and efficiency, the comparatively long reconfiguration time limits these advantages when applications request reconfigurations frequently. In multi-tasking systems frequent task switches lead to frequent reconfigurations and thus are a major hurdle for further performance increases. Sophisticated task scheduling is a very effective means to reduce the negative impact of these reconfiguration requests. In this paper, we propose an online approach for combined task scheduling and re-distribution of reconfigurable fabric between tasks in order to reduce the makespan, i.e. the completion time of a taskset that executes on a runtime reconfigurable processor. Evaluating multiple tasksets comprised of multimedia applications, our proposed approach achieves makespans that are on average only 2.8% worse than those achieved by a theoretical optimal scheduling that assumes zero-overhead reconfiguration time. In comparison, scheduling approaches deployed in state-of-the-art reconfigurable processors achieve makespans 14%-20% worse than optimal. As our approach is a purely software-side mechanism, a multitude of reconfigurable platforms aimed at multi-tasking can benefit from it.