#2/9 = 2 div 9#
Do the division:
# 9|ul(2.0000000)" "larr 2 div 9 = 0#
#" "0.#
# 9|ul(2.0^(2)000000)" "larr 20 div 9 = 2# with #2# remaining
#" "0.2#
# 9|ul(2.0^(2)0^(2)00000)" "larr 20 div 9 = 2# with #2# remaining
#" "0.2color(white)(.) 2#
# 9|ul(2.0^(2)0^(2)00000)" "larr 20 div 9 = 2# with #2# remaining
#" "0.2color(white)(.) 2color(white)(.) 2#
This process repeats and the decimal recurs
# 9|ul(2.0^(2)0^(2)0^(2)0^(2)0^(2)0^(2)0......)" "larr 20 div 9 = 2# with #2# remaining
#" "0.2color(white)(.) 2color(white)(.) 2color(white)(.) 2color(white)(.) 2color(white)(.) 2color(white)(.) 2.....#