What is x when 78 divided by x equals 19?

To find the answer, just divide the dividend by the quotient: 78 ÷ 19 = 4.1052631578947

To prove this, let's compute 78 divided by 4.1052631578947: $\frac{78}{4.1052631578947} = 19$

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 19, is equivalent to solving the following equation:

$\frac{78}{x} = 19$

Multiply both sides by x: $\frac{78 x}{x} = 19 x$
$\frac{78 x}{x}$ is equivalent to $\frac{x}{x} \times 78$ , which simplifies to $1 \times 78$ (or just $78$ ).
Thus, the equation becomes: $78 = 19 x$
To find x, divide both sides by 19: $\frac{78}{19} = \frac{19 x}{19}$
Which gives, after simplification: $4.1052631578947 = x$ (or $x = 4.1052631578947$ )

So, if the dividend is 78 and the quotient is 19, the divisor is 4.1052631578947.