A number is divided by $889$ gives a remainder $63$. If the same number is divided by $29$, the remainder will be:

Let the number be N and the quotient be q, so the number can be written as N equals 889 times q plus 63. Because 889 is a multiple of 29, dividing 889 times q by 29 leaves no remainder. Divide the remainder 63 by 29 to get a quotient of 2 and a new remainder of 5. Therefore, the required remainder is 5.

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