An acceleration algorithm for the kinetic Monte Carlo simulation of breakage process during grinding is introduced. We show that a feedback approach can be used to accelerate simulation as much as possible while control the simulation accuracy under a threshold. This is implemented by introducing a quantitative measurement of simulation accuracy and an estimation method during simulation run-time. The analysis is supported by numerical results showing significant acceleration and accuracy being well controlled below the given threshold. (C) 2016 Elsevier B.V. All rights reserved.