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Solution:
We have to find the quotient of the given division problem (x3 - 3x2 + 3x - 2) ÷ (x2 - x + 1) by using long division.
Therefore, the quotient is (x - 2).
Summary:
The quotient of (x3 - 3x2 + 3x - 2) ÷ (x2 - x + 1) is (x - 2).