what is 8 divided by one third?

To divide by a common fraction, multiply by the reciprocal:

8 ÷ 1/3  =  8 x 3/1  =  8 x 3  = ...

26.66666666

8 divided by one thrid:  $${\frac{{\mathtt{8}}}{\left({\frac{{\mathtt{1}}}{{\mathtt{3}}}}\right)}} = {\mathtt{24}}$$

8 divided by 3:              $${\frac{{\mathtt{8}}}{{\mathtt{3}}}} = {\mathtt{2.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

8 divided by 1/3 of 8:   $${\frac{{\mathtt{8}}}{\left({\frac{{\mathtt{8}}}{{\mathtt{3}}}}\right)}} = {\mathtt{3}}$$