Question 300863
{{{n/7=q+2/7}}}
where n,q are integers.
Multiply both sides by 7.
{{{n=7q+2}}}
{{{5n=35q+10}}}
{{{5n/7=35q/7+10/7}}}
{{{5n/7=5q+7/7+3/7}}}
{{{5n/7=(5q+1)+3/7}}}
{{{5q+1}}} is also an integer. 
The remainder is then {{{3}}}.
c) 3.