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Question
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
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Solution
Sum of the digits of the number 51439786 = 5 + 1 + 4 + 3 + 9 + 7 + 8 + 6 = 43
The remainder of 51439786, when divided by 3, is the same as the remainder when the sum of the digits is divided 3.
When 43 is divided by 3, remainder is 1.
Therefore, when 51439786 is divided by 3, remainder will be 1.
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