Skyrmions have attracted a great attention in spintronics because of their potential use as robust information carriers with distinctive protection. Though the realization of skyrmion-based devices requires flexible control of a skyrmion motion, achieving such a skyrmion motion has been hampered by the skyrmion Hall effect (SkHE), which refers to the presence of a finite angle between a current and the skyrmion trajectory. Here, new insight for the precise control of half-skyrmion motion is presented, including complete suppression of the SkHE by deforming the internal structure of skyrmions, which is experimentally achieved by external magnetic field to steer current-driven half-skyrmions in the desired direction. Furthermore, based on the unique advantages in half-skyrmions, the potential of half-skyrmions application beyond skyrmion-based electronics is also demonstrated by presenting simple half-skyrmion-based addition/subtraction operation. The findings of controllability of 2D half-skyrmion motion will provide new perspectives on utilization of topological solitons for device applications.