To divide \( \frac{3}{8} \) by \( 6 \), you can rewrite the division as follows:
\[ \frac{3}{8} \div 6 = \frac{3}{8} \times \frac{1}{6} \]
Now, multiply the fractions:
\[ \frac{3 \times 1}{8 \times 6} = \frac{3}{48} \]
Next, we simplify \( \frac{3}{48} \) by finding the greatest common divisor (GCD) of \( 3 \) and \( 48 \), which is \( 3 \):
\[ \frac{3 \div 3}{48 \div 3} = \frac{1}{16} \]
Thus, \( \frac{3}{8} \div 6 \) in simplest form is:
\[ \frac{1}{16} \]