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Samuel tells Saul that the Lord wants Saul to attack the Amalekites and totally destroy everything that belongs to them. But Saul and the army spared Agag and the best of the sheep and cattle, the fat calves and lambs—everything that was good. The Lord tells Samuel what happened and that He regrets making Saul king. He basically tells Samuel to find Saul and tell him, "You're fired."
The next morning Samuel finds that Saul has set up a monument in his own honor. When he sees Samuel, he tells him that he carried out the Lord's instructions. Samuel asks about the sheep and cattle. Saul says he spared them to sacrifice them to the Lord, but destroyed the rest. Samuel also admits that he brought back Agag. Samuel says, " . . . To obey is better than sacrifice, and to heed is better than the fat of rams." Then he tells him that the Lord has rejected Saul as king. Saul pleads with Samuel and tears his robe. Samuel says, "The Lord as torn the kingdom of Israel from you today and has given it to one of your neighbors - to one better than you."
Samuel allows Samuel to worship the Lord with him. Then Saul calls for Agag. Agag said, "Surely this is the bitterness of death." But Samuel says "As your sword has made women childless, so you mother will be childless among women." And Samuel hewed Agag to pieces before the Lord in Gilgal." (NRSV). My notes say this is a ritual dismemberment associated with covenant violations.