To solve $0.6 \div 9$, you can follow these steps:

1. Write the division as a fraction: $0.6 \div 9 = \frac{0.6}{9}$

2. Convert the decimal to a fraction:
   $0.6$ can be written as $\frac{6}{10}$. So the expression becomes: $\frac{6}{10} \div 9$

3. Divide by 9:
   Dividing by 9 is the same as multiplying by the reciprocal of 9, which is $\frac{1}{9}$. Therefore: $\frac{6}{10} \times \frac{1}{9} = \frac{6 \times 1}{10 \times 9} = \frac{6}{90}$

4. Simplify the fraction:
   Both the numerator and the denominator can be divided by their greatest common divisor, which is 6: $\frac{6 \div 6}{90 \div 6} = \frac{1}{15}$

So, $0.6 \div 9 = \frac{1}{15}$.

Alternatively, as a decimal: $\frac{1}{15} \approx 0.0667$

Thus, $0.6 \div 9 = 0.0667$ (rounded to four decimal places).

Would you like more details or have any questions? Here are some related questions:

1. What is $0.6 \div 3$?
2. How do you convert $0.6$ into a fraction and simplify it?
3. What is the decimal result of $\frac{1}{15}$?
4. How would you solve $0.06 \div 9$?
5. Can you calculate $1.2 \div 9$ and express it as a fraction?

Tip: When dividing decimals, converting them into fractions can often make the process clearer and easier to follow.