Step 1 :Calculate the numerator: \(5.1 \times 10^{5} + 1.4 \times 10^{4} = 5.24 \times 10^{5}\)
Step 2 :Divide the numerator by the denominator: \(\frac{5.24 \times 10^{5}}{3.5 \times 10^{-4}} = 1.50 \times 10^{9}\)
Step 3 :\(\boxed{1.50 \times 10^{9}}\)