Modeling photochemistry in the stratosphere requires solution of the equation of radiative transfer over an extreme range of wavelengths and atmospheric conditions, from transmission through the Schumann-Runge bands of O-2 in the mesosphere, to multiple scattering from tropospheric clouds and aerosols. The complexity and range of conditions makes photolysis calculations in 3-D chemical transport models computationally expensive. This study pesents a fast and accurate numerical method, Fast-J2, for calculating photolysis rates (J-values) and the deposition of solar flux in stratosphere. Fast-J2 develops an optimized, super-wide 11-bin quadrature for wavelengths from 177 to 291 nm that concatenates with the 7-bin quadrature (291-850 nm) already developed for the troposphere as Fast-J. Below 291 nm the effects of Rayleigh scattering are implemented as a pseudo-absorption, and above 291 nm the full multiple-scattering code of Fast-J is used. Fast-J2 calculates the mean ultraviolet-visible radiation field for these 18 wavelength bins throughout the stratosphere, and thus new species and new cross sections can be readily implemented. In comparison with a standard, high-resolution, multiple-scattering photolysis model, worst-case errors in Fast-J2 do not exceed 5% over a wide range of solar zenith angles, altitudes (0-60 km), latitudes, and seasons where the rates are important in photochemistry.