Remove the mushroom and set them aside. Could you explain the meaning of this sentence Thanks

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remove = move away 
set aside = place nearby

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I didn't understand mainly remove
Remove means to delete

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It's explained very clearly, with your example sentence, on this page:

http://www.ldoceonline.com/dictionary/set_1

You could understand "to set" as meaning "to place".

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What is the context please? Thanks, if it is cooking it just means to take the mushrooms and leave them on one side, (put them somewhere) until you need them later for the recipe.

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Carefully remove the stems from the mushrooms, chop them finely, and set them aside.