Step 1 :Find the quotient of \(f(x)\) and \(g(x)\): \(\frac{f(x)}{g(x)} = \frac{3x - 1}{x^2 - x}\)
Step 2 :Simplify the expression and find domain restrictions: \(\boxed{\frac{3x - 1}{x^2 - x}}\) with a domain restriction of \(x \neq 0, 1\)