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Question
Find the remainder, without performing actual division, when 798 is divided by 11.
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Solution
798 = A multiple of 11 + (Sum of its digits at odd places - Sum of its digits at even places)
798 = A multiple of 11 + (7 + 8 - 9)
798 = A multiple of 11 + (15 - 9)
798 = A multiple of 11 + 6
Therefore, the remainder is 6.
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