How do you divide #107,609 div 72#?

1 Answer
May 19, 2017

Long division but in a different format.

#1494.5694bar4#

Explanation:

#color(white)("ddddddddddddd")107609#
#color(magenta)(1000)(72)->color(white)("dddd")ul(72000)larr" Subtract"#
#color(white)("dddddddddddddd")35609#
#color(white)(1)color(magenta)(400)(72)-> color(white)("dddd")ul(28800)larr" Subtract"#
#color(white)("dddddddddddddd")6809#
#color(white)(44)color(magenta)(90)(72)->color(white)("ddd.d")ul(6480)larr" Subtract"#
#color(white)("ddddddddddddddd")329#
#color(white)(444)color(magenta)(4)(72)->color(white)("ddddd") ul(288) larr" Subtract"#
#color(white)("dddddddddddddddd")41larrcolor(red)(41/72=>" now into decimals")#
#color(magenta)(0.5)(72)->color(white)("dddddd.d")ul(36)larr" Subtract"#
#color(white)("ddddddddddddddddd")5.00#
#color(magenta)(0.06)(72)->color(white)("ddddddd.")ul(4.32)larr" Subtract"#
#color(white)("ddddddddddddddddd")0.680#
#color(magenta)(0.009)(72)->color(white)("ddddddd")ul(0.648)larr" Subtract"#
#color(white)("dddddddddddddd.ddd")0.0color(green)(32)0#
#color(magenta)(0.0004)(72)->color(white)("ddddd.d")ul(0.0color(blue)(288))larr" Subtract"#
#color(white)("dddddddddddddddd.d")0.00color(green)(32)0#
#color(magenta)(0.00004)(72)->color(white)("dd.ddd")ul(0.00color(blue)(288))color(red)(larr" Repeating cycle")#

#color(magenta)(1494.569444........)#

#1494.5694bar4#
where the bar over the last 4 means that the 4 goes on repeating for ever.