The story, "The Death of Ivan Ilych," by Leo Tolstoy, is available as a pdf file viewable in Adobe Acrobat Reader. Most computers have Acrobat Reader already installed, but if yours doesn't have it, or if the file doesn't open automatically when you click on the underlined link below, you can download the Acrobat Reader for free.
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This reading is taken from the fifth edition of The Story and Its Writer, edited by Ann Charters and published in 1999 by Bedford/St. Martin's, located in Boston.
Here's the story, in installments: