What value divided by 97 equals 6?

How does it work?

Asking which value divided by 97 gives a result of 6 is equivalent to solving the following equation:

$\frac{x}{97}=6$

1. We need to isolate x, so multiply both sides by 97: $\frac{97x}{\mathrm{97}}=97\times 6$
2. $\frac{97x}{\mathrm{97}}$ is equivalent to $\frac{97}{\mathrm{97}}x$, which simplifies to $1x$ (or just $x$).
3. Thus: $x=97\times 6=582$

So, if the divisor is 97 and the quotient is 6, the dividend is 582.