smc

Let $n$ be the original number in question. The number divided by 6 is $\frac{n}{6}$, and the number multiplied by 6 is $6n$. Because $\frac{n}{6}=\frac{1}{36}\ast 6n$, and $\frac{1}{36}=0.02\overline{7}\approx 0.03=3$%, the error (which is our deviation from the correct value) is about $97$%. Thus, our answer is $\boxed{97}$.