What value divided by 97 equals 78?

How does it work?

Asking which value divided by 97 gives a result of 78 is equivalent to solving the following equation:

$\frac{x}{97}=78$

1. We need to isolate x, so multiply both sides by 97: $\frac{97x}{\mathrm{97}}=97\times 78$
2. $\frac{97x}{\mathrm{97}}$ is equivalent to $\frac{97}{\mathrm{97}}x$, which simplifies to $1x$ (or just $x$).
3. Thus: $x=97\times 78=7566$

So, if the divisor is 97 and the quotient is 78, the dividend is 7566.