We show that scattering with remote phonons originating in the substrate insulator can appreciably reduce the mobility of graphene and it should not be neglected in the interpretation of graphene mobility data. In fact by accounting for remote phonon scattering we could reproduce fairly well the experimentally observed dependence of the mobility on the ribbon width, the temperature and the inversion density, whereas the agreement with experiments is much worse when remote phonons are not included in the calculations.