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The longest division problem in the world is known as the "Googolplex" division problem. A googolplex is a number that is equal to 10 to the power of a googol, which is 10 to the power of 100. The division problem involves dividing a googolplex by a googol, resulting in an incredibly large quotient. Due to the immense size of the numbers involved, the division problem is essentially impossible to calculate manually and requires specialized computer algorithms.

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