Which of the statements is true for the two division problems below?

A: $\displaystyle{\left({{x}}^{{2}}-{3}{x}-{18}\right)}\div{\left({x}-{6}\right)}\usepackage{cmbright}\Huge\$

B. $\displaystyle{\left({{x}}^{{3}}-{{x}}^{{2}}-{5}{x}-{3}\right)}\div{\left({{x}}^{{2}}+{2}{x}+{1}\right)}\usepackage{cmbright}\Huge\$