Question

What is `6324 -: 53`?

Answer 1

`6324 -: 53 = 119 17/53 = 119.bar(3207547169811)`

Explanation:

To do a full long division, it is often helpful to write out the multiples of your divisor (in this case `53`) from `1` to `9` first...

`1 - color(white)(0)53`
`2 - 106`
`3 - 159`
`4 - 212`
`5 - 265`
`6 - 318`
`7 - 371`
`8 - 424`
`9 - 477`

If we stop the division before bringing down the first digit after the decimal point then the remainder is `17`, which tells us that:

`6324/53 = 119 17/53`

or to put it another way:

`6324/53 = 119` with remainder `17`

If we carry on with the long division, using our handy look up table of multiples of `53`, this remainder `17` eventually repeats. So the quotient starts repeating too and we find:

`6324 = 119.320754716981132075471698113207547169811...`

`=119.bar(3207547169811)`