well, how many times does 1/8 go into 5 and 3/4? so, is just the quotient, so let's first convert the mixed fraction to "improper" and do the division,
[tex]\bf \stackrel{mixed}{5\frac{3}{4}}\implies \cfrac{5\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{23}{4}}\\\\
-------------------------------\\\\
\cfrac{\quad \frac{23}{4}\quad }{\frac{1}{8}}\implies \cfrac{23}{4}\cdot \cfrac{8}{1}\implies \cfrac{23}{1}\cdot \cfrac{2}{1}\implies 46[/tex]
