All 5 Uses of

divine
in
The Life and Death of King Richard III

And with all speed post with him toward the north,
To shun the danger that his soul divines.
Scene 3.2 *

divines = to discover something through intuition or reflection

He doth entreat your grace, my noble lord, To visit him to-morrow or next day: He is within, with two right reverend fathers, Divinely bent to meditation: And in no worldly suit would he be mov'd, To draw him from his holy exercise.†
Scene 3.7

—Vouchsafe, divine perfection of a woman, Of these supposed crimes to give me leave, By circumstance, but to acquit myself.†
Scene 1.2

He is not lolling on a lewd day-bed, But on his knees at meditation; Not dallying with a brace of courtezans, But meditating with two deep divines; Not sleeping, to engross his idle body, But praying, to enrich his watchful soul: Happy were England would this virtuous prince Take on his grace the sovereignty thereof: But, sure, I fear, we shall not win him to it.†
Scene 3.7 *

Definitions:

(1) (divine as in: to forgive is divine)
wonderful; or god-like or coming from God
(2) (divine as in: divined from tea leaves)
to discover or predict something supernaturally (as if by magic)
(3) (divine as in: divined through intuition)
to discover or guess something -- usually through intuition or reflection
(4) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

In the time of Shakespeare, divine was sometimes used as a noun to reference a priest or a person of the church. (To remember that sense, think of the clergyman as having come from God).

Divinity typically refers to a god or to a school of religion, but on rare occasions, it refers to the name of a kind of soft white candy. To remember that sense, you might think of it as tasting divine/wonderful.