Since there are so many reasonably common, but highly diverse senses of dispose, it is generally recommended that you just learn the sense (or senses) that currently interest you.
It may help you to remember the various senses of dispose and its other forms such as disposition, if you remember that all the senses have to do with getting rid of (or using something) or being inclined to do something.
I expect them to dispose of the matter this afternoon.
The issue will be disposed by the judge.
Three messages had slid out of the pneumatic tube while Winston was working, but they were simple matters, and he had disposed of them before the Two Minutes Hate interrupted him.
George Orwell -- 1984
The plot is cute and complex, having largely to do with an alleged conspiracy on the part of Brandon Strathaway—Willard’s tycoon father—to dispose of old Ezra, whose hideously mutilated corpse is indeed found one morning in the entrails of a mechanical cranberry picker.
William Styron -- Sophie’s Choice
I carry things up the stairs and stow them in the garage. In there they seem disposed of.
Margaret Atwood -- Cat’s Eye
Surely a drugged Mockingjay will be easier to dispose of in front of a crowd.
Suzanne Collins -- Mockingjay
Having disposed of these evil-minded persons for the night,
Charles Dickens -- Oliver Twist
Marianne’s pianoforte was unpacked and properly disposed of;
Jane Austen -- Sense and Sensibility
he is unable to take a fact out of its merely political relations, and behold it as it lies absolutely to be disposed of by the intellect
Henry David Thoreau -- Resistance to Civil Government
The forest disposes of its own victims.
Ayn Rand -- Anthem
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The Committee for the Disposal of Dangerous Creatures required a witness to the execution of a mad hippogriff.
J.K. Rowling -- Harry Potter and the Prisoner of Azkaban
they intend to dispose of him
Darren Shan -- A Vampire’s Assistant
He had no difficulty in disposing of the fallacy, and he was in no danger of succumbing to it.