Step-by-step explanation:
In the lines you provided from Act IV, Scene I of William Shakespeare's play "The Tempest," Caliban is addressing Stephano, who is complaining about losing his wine. Caliban urges Stephano to be quiet and not make any noise. Caliban then proposes a plan to make the island Stephano's own forever, expressing his loyalty and servitude by offering to be Stephano's faithful follower, referring to himself as "thy Caliban, for aye thy foot-licker."
In these lines, it seems that Caliban is trying to appease and support Stephano. Caliban's loyalty to Stephano is evident in his willingness to serve him and help him achieve his goals on the island. Caliban sees Stephano as a potential leader or king who can bring about a change in their circumstances, and he aligns himself with Stephano in the hope of benefiting from the outcome. The mention of being "thy foot-licker" emphasizes Caliban's submissive and servile attitude towards Stephano.