Arbitary $4$ digit numbers $a$ and $b$ are given. The object is to calculate the fraction $\frac{a}{b}$ without electronic help and without the usual division method.
The result should be correct until the second digit after the decimal point. Two variants are possible :
The second digit is not rounded correctly, the result always gives the first two digits after the decimal point.
We always get the number $\frac{a}{b}$, correct rounded to the second digit after the decimal point.
I accept both variants, but the method must always give the result according to the given variant.
A rough approximation would be to round $a$ and $b$ correct to the next hundred, which gives a smaller fraction , but the accuracy is too low in general.
Another approach would be to calculate $\frac{a+x}{b+x}$ , where $x$ is chosen in such a way that $b+x$ is divisble by $100$ or even $1000$, but this approximation is not accurate enough in general either.
Does anyone have a good idea ?