Question

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

Answer 1

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.