What value divided by 19 equals 97?

How does it work?

Asking which value divided by 19 gives a result of 97 is equivalent to solving the following equation:

$\frac{x}{19}=97$

1. We need to isolate x, so multiply both sides by 19: $\frac{19x}{\mathrm{19}}=19\times 97$
2. $\frac{19x}{\mathrm{19}}$ is equivalent to $\frac{19}{\mathrm{19}}x$, which simplifies to $1x$ (or just $x$).
3. Thus: $x=19\times 97=1843$

So, if the divisor is 19 and the quotient is 97, the dividend is 1843.