To find the quotient when you divide -34 by 38, you can perform the division:
\[ -34 \div 38 = -\frac{34}{38} \]
Now, simplify the fraction:
\[ -\frac{34}{38} = -\frac{17}{19} \]
The quotient is not an integer since -34 is not evenly divisible by 38.
However, if you approximate it as a mixed number:
To convert -\frac{17}{19} to a mixed number, you can express it as a decimal:
\[ -34 \div 38 \approx -0.8947368421 \]
This indicates that the quotient is approximately -1 or you can express it closer to −2 if it rounds upwards or is interpreted loosely.
That said, looking at your options, they don't match this exact calculation.
Hence, among the choices provided, the one closest to this result in terms of its representation is:
−2 (negative 2)
It should be noted though, that none of your given options represent the decimal or exact fraction precisely.