To find the quotient of \( \frac{1.95 \times 10^{14}}{1.5 \times 10^{5}} \), we can divide the coefficients and then subtract the exponents of the powers of ten.
Step 1: Divide the coefficients
\[ \frac{1.95}{1.5} = 1.3 \]
Step 2: Subtract the exponents
\[ 10^{14} \div 10^5 = 10^{14-5} = 10^9 \]
Step 3: Combine the results
Combining the results from steps 1 and 2, we have: \[ 1.3 \times 10^9 \]
Thus, the final answer is: \[ \boxed{1.3 \times 10^9} \]