Question: in the cartoon Naruto what episoad douse Gaara becom kazekage? 

Answer: It hasn't happened yet. The anime at this point is still continuing on fillers.. Once KG and Part II start, you can safely assume that Gaara is presently the Kazekage. There isn't an episode/chapter where he "becomes" Kazekage. Naruto is told that while he was away, Gaara became a Kage.
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