To find the quotient of \( \frac{9}{10} \) and 23, you can express this mathematically as:
\[ \frac{9}{10} \div 23 \]
Dividing by a number is the same as multiplying by its reciprocal. Therefore, this can be rewritten as:
\[ \frac{9}{10} \times \frac{1}{23} \]
Now, multiply the fractions:
\[ \frac{9 \times 1}{10 \times 23} = \frac{9}{230} \]
So, the quotient of \( \frac{9}{10} \) and 23 is \( \frac{9}{230} \).