  We calculate the leading divergences at NNLO for the octet part of the
nonleptonic weak sector of chiral perturbation theory, using renormalization
group methods. The role of counterterms which vanish at the equation of motion
and their use to simplify the calculation is shown explicitly. The obtained
countertem Lagrangian can be employed to calculate the chiral double log
contributions of quantities in this sector, most notably the K --> pi pi
amplitude. The double log contribution of the latter is discussed in a separate
paper.
