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游刃有余 is formed from an anecdote in the Zhuangzi where a butcher skillfully moves his knife through gaps between bones; 游 means "to move", 刃 means "blade", 有 means "to have", and 余 means "surplus", literally describing the blade moving with surplus room, which metaphorically conveys handling a task with ease due to expertise.

Word Definition - 游刃有余

yóu rèn yǒu yú handling a butcher's cleaver with ease (idiom); to do sth skillfully and easily