Use the Remainder Theorem to find the remainder when \(3 x ^ { 3 } + 8 x ^ { 2 } - 3 x - 5\) is divided by \(3 x - 1\).
Express \(\frac { 3 x ^ { 3 } + 8 x ^ { 2 } - 3 x - 5 } { 3 x - 1 }\) in the form \(a x ^ { 2 } + b x + \frac { c } { 3 x - 1 }\), where \(a , b\) and \(c\) are integers.