To solve the division expression \( \frac{2}{7} \div 6 \), we can simplify it step by step:
1. Rewrite the expression with division as multiplication by the reciprocal:
\[ \frac{2}{7} \div 6 = \frac{2}{7} \times \frac{1}{6} \]
2. Multiply the fractions:
\[ \frac{2}{7} \times \frac{1}{6} = \frac{2 \times 1}{7 \times 6} \]
\[ \frac{2}{7} \times \frac{1}{6} = \frac{2}{42} \]
3. Simplify the fraction:
\[ \frac{2}{42} = \frac{1}{21} \]
Therefore, \( \frac{2}{7} \div 6 = \frac{1}{21} \).
