Scattering by a multilayered scatterer is analyzed via a novel multiple-scattering approach. Based on the recognition that multiple scattering occurs within single scatterers having internal interfaces, the solution procedure follows the physical process, and yields analytically exact solutions. A simple two-layered scatterer subjected to SH incident waves is used to illustrate the detailed solution procedure. The solution is then verified by a two-layered circular cylindrical scatterer, whose exact analytical solution has previously been obtained by the author [J. Acoust. Soc. Am. (2004)]. The proposed approach opens new ways for analyzing scatterers of more complicated geometrical and physical compositions.