What is the largest quotient that can be formed using two numbers chosen from the set $\{ -24, -3, -2, 1, 2, 8 \}$?
$\text{(A)}\ -24 \qquad \text{(B)}\ -3 \qquad \text{(C)}\ 8 \qquad \text{(D)}\ 12 \qquad \text{(E)}\ 24$
Let the two chosen numbers be $a$ and $b$.  To maximize the quotient, we first have either $a,b>0$ or $a,b0$, we have $a=8$ and $b=1$, which gives us $8/1=8$.
Since $12>8$, our answer is $\boxed{\text{D}}$.