This paper presents a study on a heuristic solution for an efficient firing method of artillery firearms by applying stochastic simulation. Artillery firearms are crucial weapon systems possessed by the military, particularly the Army and Marine Corps of the Republic of Korea, and play a significant role in their firepower. The study aims to determine the proper firing method for efficient operation of artillery firearms based on target shape and range error while considering different target distributions. The hypothesis that the separation distance and range error between individual targets will affect the damage probability according to the firing method is verified using probabilistic experiments with the Monte Carlo method and engineering models such as Carlton and Cookie Cutter damage functions. The research results provide valuable insights for making tactical decisions for operating and planning operational and combat real-time artillery firearms. In conclusion, the findings of this research can aid in determining the proper target distribution and firing method for efficient operation of artillery firearms. The study is significant to military personnel involved in the operation and planning of operational and combat real-time artillery firearms.