To find the quotient of \( 842.4 \div -0.6 \), we can perform the division:
\[ 842.4 \div -0.6 = -(842.4 \div 0.6) \]
Now, calculate \( 842.4 \div 0.6 \):
\[ 842.4 \div 0.6 = 842.4 \times \frac{10}{6} = 842.4 \times \frac{5}{3} \]
Calculating that step by step:
- \( 842.4 \times 10 = 8424 \)
- \( 8424 \div 6 = 1404 \)
So, \( 842.4 \div 0.6 = 1404 \), therefore:
\[ 842.4 \div -0.6 = -1404 \]
Thus, the answer is:
\[ \boxed{-1,404} \]