In this paper the authors present a general subgridding scheme for enhancing the finite difference time domain (FDTD) algorithm. It is different from the conventional approaches in that it does not employ weighted averages of the electric or magnetic fields in the transition zone from the coarse to the fine grid regions, but employs a novel procedure instead for transferring the information between these two regions. We illustrate the application of the subgridding algorithm by considering refinement factor of 5, and provide validation of the results obtained for this case.