Which natural number is nearest to 9217, which is completely divisible by 88?

On dividing we get, 

 88) 9217 (104
        88
        ----
          417
          352
          ----
          65
          ----
  
 Therefore, Required number = 9217 + (88 - 65) // Because (88 - 65) < 65.
                            = 9217 + 23
                            = 9240.