The MicroBooNE experiment is an 85 ton active volume liquid-argon time projection chamber located at the Fermilab Booster Neutrino Beamline. MicroBooNE's ability to detect low-energy protons allows us to study single-proton events with a four-momentum transfer squared $Q^2$ as low as 0.10 $GeV^2$. We present an analysis with a signal of one proton and no other particles (NC1p) in the final state. We report the progress toward the flux-averaged NC1p differential cross section for neutrinos scattering on argon as a function of $Q^2$ using a subset of MicroBooNE's data.