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Formula
Calculate the value
Use the synthetic division to find the quotient and the remainder
$\left( -3a ^{ 5 } -2a ^{ 4 } +27a ^{ 2 } \right) \div \left( -3a ^{ 2 } \right)$
$\dfrac { 3 a ^ { 5 } + 2 a ^ { 4 } - 27 a ^ { 2 } } { 3 a ^ { 2 } }$
Arrange the rational expression
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 27 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \right )$
 Calculate the multiplication expression 
$\color{#FF6800}{ \dfrac { 3 a ^ { 5 } + 2 a ^ { 4 } - 27 a ^ { 2 } } { 3 a ^ { 2 } } }$
 Quotient $: a ^ { 3 } + \dfrac { 2 a ^ { 2 } } { 3 } - 9 \\$ Remainder $: 0$
Use the synthetic division to find the quotient and the remainder
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 27 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \right )$
 Divide $- 3 a ^ { 5 } - 2 a ^ { 4 } + 27 a ^ { 2 }$ by $- 3 a ^ { 2 }$ using the synthetic division 
 Quotient $: a ^ { 3 } + \dfrac { 2 a ^ { 2 } } { 3 } - 9 \\$ Remainder $: 0$
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