Answer: Option B
$$\eqalign{
& \,\,\,\,\,2|4\,\,\overline {12} \,\,\overline {09} \,(203 \cr
& \,\,\,\,\,\,\,\,\,|4 \cr
& \,\,\,\,\,\,\,\,\,| - - - - - - - - \cr
& \,\,40|\,\,\,\,\,\,\,\,12 \cr
& \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,0 \cr
& \,\,\,\,\,\,\,\,\,| - - - - - - - - \cr
& \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,12\,09 \cr
& 403|\,\,\,\,\,\,\,\,\,12\,09 \cr
& \,\,\,\,\,\,\,\,\,| - - - - - - - - \cr
& \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,x \cr
& \,\,\,\,\,\,\,\,\,| - - - - - - - - \, \cr
& \therefore \sqrt {41209} = 203 \cr} $$