To find the quotient of \( 56 \div 112 \), we can express it as a fraction:
\[ \frac{56}{112} \]
Next, we simplify this fraction. We can find the greatest common divisor (GCD) of 56 and 112, which is 56. Now, we can divide both the numerator and denominator by their GCD:
\[ \frac{56 \div 56}{112 \div 56} = \frac{1}{2} \]
Thus, the simplified quotient of \( 56 \div 112 \) is:
\[ \frac{1}{2} \]