During the battle that followed, William's forces suffered heavy casualties but managed to rout Harold's infantry. However, Harold and his housecarls stood firm, despite a torrent of arrows shot at them by William's archers. Soon after Harold was hit by an arrow and killed, the housecarls were overwhelmed by William's victorious soldiers. William was crowned in London by the Archbishop of York, then set about restructuring the English government and imposing the feudal system on the nobility.