[tex]\huge{\boxed{\frac{1}{7}}}[/tex]
To divide by a fraction, you multiply by its reciprocal. (Find the reciprocal by flipping the numerator and denominator.) [tex]\frac{1}{8} \div \frac{7}{8} = \frac{1}{8} * \frac{8}{7}[/tex]
Multiply the numerators together and multiply the denominators together. [tex]\frac{1}{8} * \frac{8}{7} = \frac{1*8}{8*7} = \frac{8}{56}[/tex]
Divide both the numerator and the denominator by [tex]8[/tex] to simplify the fraction. [tex]\frac{8 \div 8}{56 \div 8} = \boxed{\frac{1}{7}}[/tex]