$\frac{6}{10} \div \frac{3}{20}$

Step 1 ：We are given two fractions, \(\frac{6}{10}\) and \(\frac{3}{20}\), and we are asked to divide the first fraction by the second.

Step 2 ：The operation of division of fractions can be performed by multiplying the first fraction by the reciprocal of the second fraction.

Step 3 ：The reciprocal of a fraction is obtained by swapping its numerator and denominator. So, we need to multiply \(\frac{6}{10}\) by the reciprocal of \(\frac{3}{20}\), which is \(\frac{20}{3}\).

Step 4 ：Performing the multiplication, we get \(\frac{6}{10} \times \frac{20}{3} = 4.0\).

Step 5 ：So, the result of the division of the two fractions is 4.0.

Step 6 ：Final Answer: \(\boxed{4.0}\)