To solve the given problem, we need to evaluate the expression:

$(6.4 \times 10^3) \div (3.2 \times 10^2)$

Step-by-step solution:

1. Divide the coefficients:
   $\frac{6.4}{3.2} = 2$

2. Apply the property of exponents (for division, subtract the exponents):
   $10^3 \div 10^2 = 10^{3-2} = 10^1$

3. Combine the results:
   $2 \times 10^1$

Final Answer:

$2 \times 10^1$

The correct option is:
$2 \times 10^1$.

Would you like further details on scientific notation or properties of exponents?
Here are 5 related questions to expand understanding:

1. How do you multiply numbers in scientific notation?
2. What is the rule for dividing exponents with the same base?
3. How can you convert a number from scientific to standard notation?
4. What are other common operations performed using scientific notation?
5. Why is scientific notation useful in real-life scenarios like astronomy or physics?

Tip: Always simplify the coefficients first when dealing with scientific notation, then handle the powers separately.