To find the quotient of \( 18.8 \) divided by \( 1.6 \), we can perform the division:
\[ \frac{18.8}{1.6} \]
To simplify the calculation, we can eliminate the decimal points by multiplying both the numerator and the denominator by \( 10 \):
\[ \frac{18.8 \times 10}{1.6 \times 10} = \frac{188}{16} \]
Now, we can divide \( 188 \) by \( 16 \):
\[ 188 \div 16 = 11.75 \]
So, the correct answer to \( 18.8 \div 1.6 \) is \( 11.75 \).
Thus, Natasha is correct, and Jorge's answer of \( 1.175 \) is incorrect.