figuration Interaction (FCI). Among them, FCI is long known as the method that can provide numerically exact solutions to the time-independent Schrodinger Equation under a specific basis set. Nevertheless, its exponential scaling with the number of electrons and orbitals prevents it from being used to calculate the energies of larger systems. In this work, we combine a stochastic method, Full Configuration Interaction Quantum Monte Carlo (FCIQMC) and the fragment embedding method, Bootstrap Embedding (BE) to calculate molecular energies at FCI level and examine the scaling relationship between the size of the Hilbert space of the fragments and the number of walkers required to maintain the quality of the solution.