The fraction #5/9# means #5 div 9##color(white)(www)9 |bar(5.0000000......)#
#color(white)(wwwww)0.5color(white)(aaaaaaaa)larr 5div 9=0, 50div9=5#
#color(white)(www)9 |bar(5.0000000......)#
#color(white)(wwwww)ul4.5" "larr 0.5 xx 9#
#color(white)(wwwww)0.50" "larr# subtract, bring down a #0#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Same process again:
#color(white)(wwwww)0.55color(white)(aaaaaaaa)larr 50div9=5#
#color(white)(www)9 |bar(5.0000000......)#
#color(white)(wwwww)ul4.5#
#color(white)(wwwww)0.50#
#color(white)(ww.www)ul.45#
#color(white)(ww.www).050" "larr# subtract, bring down a #0#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Same process again and again:
#color(white)(wwwww)0.555555color(white)(aaaaaaaa)larr 50div9=5#
#color(white)(www)9 |bar(5.0000000......)#
#color(white)(wwwww)ul4.5#
#color(white)(wwwww)0.50#
#color(white)(ww.www)ul.45#
#color(white)(ww.www).050#
#color(white)(ww.www)ul.045#
#color(white)(ww.www).0050" "larr# subtract, bring down a #0#