<p>While the first part¹ of the article presented analytic results for a driven coplanar double pendulum with velocity-dependent damping, this second part presents a simple method to compute Floquet multipliers numerically. Multiple regions of harmonic and subharmonic swings in the plane of driving parameters are constructed using the computed values of the Floquet multipliers. The instability zones corresponding to two normal modes may overlap in the plane of driving parameters. The double pendulum cannot oscillate in one of its normal modes within these overlapping regions. The instability zones of the driven damped double pendulum reveal novel features when the two masses are unequal. Two overlapping subharmonic (or harmonic) instability zones detach from their meeting point and shift upwards or sideways in the parameter plane in the presence of damping. The reorganisation of instability zones significantly influences the dynamics.</p>