Find q(x) and r(x) as described by the division algorithm so that f (x) = g(x)q(x) + r(x) with r(x) = 0 or of degree less than the degree of g(x).

f(x) = x⁴ + 5x³ - 3x² and g(x) = 5x² - x + 2 in Z₁₁[x].