Gonzalo Higuain netted the first and the fourth, with Cristiano Ronaldo, Luka Modric and Karim Benzema all on target.
The victory keeps Madrid in second place and clear of rivals Atletico, who they will meet in the Copa del Rey.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.