Set up the equation

To solve for $K$, rearrange the given equation $\frac{0.048}{K} = 0.6$ by multiplying both sides by $K$ and dividing by 0.6.

$K = \frac{0.048}{0.6}$

Simplify decimal division

To eliminate the decimal in the denominator, multiply both numerator and denominator by 10, resulting in $\frac{0.48}{6}$.

$K = \frac{0.48}{6}$

Final calculation

Dividing 0.48 by 6, we perform the division $48 \div 6 = 8$ and adjust the decimal place two positions to the left.

$K = 0.08$