Substitute each letter by a different decimal digit from 0 to 9 to satisfy this alphametic division puzzle.

                     A N Y
        -------------------
I T S |  I S L  A N D
           T N N A
        -------------------
              T D U N
              T  L E N
        ------------------
                 S Y U D
                 S T N Y
         -------------------
                    S T I

Note: Derive a non computer-assisted solution.