To evaluate the quotient \( \frac{4.6 \times 10^5}{2,300,000} \), we first express \( 2,300,000 \) in scientific notation.
\( 2,300,000 = 2.3 \times 10^6 \)
Now, we can rewrite the expression as follows:
\[ \frac{4.6 \times 10^5}{2.3 \times 10^6} \]
Using the property of fractions, we can separate the coefficients and the powers of ten:
\[ = \frac{4.6}{2.3} \times \frac{10^5}{10^6} \]
Calculating \( \frac{4.6}{2.3} \):
\[ \frac{4.6}{2.3} = 2 \]
Next, we handle the powers of ten:
\[ \frac{10^5}{10^6} = 10^{5-6} = 10^{-1} \]
Putting it all together, we have:
\[ = 2 \times 10^{-1} \]
Thus, the quotient \( \frac{4.6 \times 10^5}{2,300,000} \) can be represented by the expression:
\[ 2 \times 10^{-1} \]
The correct answer is B. \( 2 \times 10^{-1} \).