  We introduce a new method for the construction of smoothings of a real plane
branch $(C, 0)$ by using Viro Patchworking method. Since real plane branches
are Newton degenerated in general, we cannot apply Viro Patchworking method
directly. Instead we apply the Patchworking method for certain Newton non
degenerate curve singularities with several branches. These singularities
appear as a result of iterating deformations of the strict transforms of the
branch at certain infinitely near points of the toric embedded resolution of
singularities of $(C,0)$. We characterize the $M$-smoothings obtained by this
method by the local data. In particular, we analyze the class of multi-Harnack
smoothings, those smoothings arising in a sequence $M$-smoothings of the strict
transforms of (C,0) which are in maximal position with respect to the
coordinate lines. We prove that there is a unique the topological type of
multi-Harnack smoothings, which is determined by the complex equisingularity
type of the branch. This result is a local version of a recent Theorem of
Mikhalkin.
