Find the Quotient and Remainder for the Division Problem $\left( 6 x ^ { 2 } + 5 x - 4 \right) \div ( 2 x - 1 )$

Find the quotient and remainder for the division problem. $\left( 6 x ^ { 2 } + 5 x - 4 \right) \div ( 2 x - 1 )$

A) $Q : 3 x - 4$
R: 0
B) Q: $3 x - 4$
$\mathrm { R } : - 1$
C) Q: $3 x + 4$
$\mathrm { R } : x$
D) $Q : 3 x + 4$
$\mathrm { R } : 1$
E) $Q : 3 x + 4$
R: 0