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We present design, analysis and test of a superconducting microwave power divider for a new superconducting Reciprocal Quantum Logic (RQL). The RQL logic family, using combination of AC power and SFQ data encoding, allows scalable superconducting digital circuits with zero static power dissipation. The Wilkinson 1:8 power splitter/combiner based on λ/4 resonators has been analyzed for geometric series and maximum flat response. Simulated maximum flat response gives one octave of bandwidth with non-uniformity of the bias current distribution within ±10%. This result is valid with up to 40 ps of electrical length mismatch in the power lines that is well within the requirements for complex circuits. We have experimentally confirmed correct operation of the divider/combiner in a frequency band 0-12 GHz in even mode.