Calculate the quotient below and give your answer in scientific notation.

To calculate the quotient \(\dfrac{3.8 \times 10^{9}}{400}\), we can break it down into two parts: the coefficient and the power of ten.

1. Divide the coefficient: \[ \dfrac{3.8}{400} = 0.0095 \]

2. Power of ten: \[ 10^9 \]

   So now we can combine these: \[ 0.0095 \times 10^{9} \]

3. Convert \(0.0095\) to scientific notation: \[ 0.0095 = 9.5 \times 10^{-3} \]

4. Now substitute back into the expression: \[ 0.0095 \times 10^{9} = (9.5 \times 10^{-3}) \times 10^{9} \]

5. Combine the powers of ten: \[ 9.5 \times 10^{9 - 3} = 9.5 \times 10^{6} \]

So the final answer in scientific notation is: \[ \boxed{9.5 \times 10^{6}} \]