To determine the quotient of the given values, we begin by dividing 16.017 inches by 0.370 inches.
Step 1: Calculate the quotient:
[tex]\[ \text{Quotient} = \frac{16.017 \text{ inches}}{0.370 \text{ inches}} \][/tex]
[tex]\[ \text{Quotient} = 43.28918918918919 \][/tex]
Step 2: Round the quotient to the correct level of precision. Since we're looking at the options provided, we'll round the quotient to two decimal places:
[tex]\[ 43.28918918918919 \approx 43.29 \][/tex]
Therefore, the quotient of 16.017 inches divided by 0.370 inches, rounded to the correct level of precision, is:
[tex]\[ 43.29 \][/tex]
The closest option provided that matches this result is:
[tex]\[ 43.29 \][/tex]
Thus, the correct answer is:
[tex]\[ 43.29 \][/tex]