Dividing by a number is the same as multiplying by its reciprocal.

Since the reciprocal of 3 is \(\frac{1}{3}\), then \(\frac{1}{4}\div 3 = \frac{1}{4}\times \frac{1}{3}\).

To multiply two fractions, multiply the numerators and multiply the denominators.

Therefore \(\frac{1}{4}\times \frac{1}{3}=\frac{1\times 1}{4\times 3}\ so\ \frac{1}{4}\div 3 = \frac{1}{12}\)