Multiples are more complex to analyze than primaries. This is due to the fact that a multiple, as the name suggests, bounces in the subsurface more than once. We propose a method that decomposes the data by scattering order and extract each scattering order of multiples separately from the rest. The method represents an extension to SRME, where SRME is simply the first iteration. Similar to SRME, no prior knowledge of the subsurface is assumed, as the method is purely data-driven. A numerical example shows that the method is capable of separating different orders of scattering. Application to field data from the North Sea demonstrates the effectiveness of the method.