The process ep→epπ0 has been measured at Q2=6.4 and 7.7 (GeV/c2)2 in Jefferson Lab's Hall C. Unpolarized differential cross sections are reported in the virtual photon-proton center-of-mass frame considering the process γ*p→pπ0. Various details relating to the background subtractions, radiative corrections, and systematic errors are discussed. The usefulness of the data with regard to the measurement of the electromagnetic properties of the well-known Δ(1232) resonance is covered in detail. Specifically considered are the electromagnetic and scalar-magnetic ratios REM and RSM along with the magnetic transition form factor GM*. It is found that the rapid falloff of the Δ(1232) contribution continues into this region of momentum transfer and that other resonances may be making important contributions in this region.