What is x when 78 divided by x equals 32?

To find the answer, just divide the dividend by the quotient: 78 ÷ 32 = 2.4375

To prove this, let's compute 78 divided by 2.4375: $\frac{78}{2.4375} = 32$

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 32, is equivalent to solving the following equation:

$\frac{78}{x} = 32$

Multiply both sides by x: $\frac{78 x}{x} = 32 x$
$\frac{78 x}{x}$ is equivalent to $\frac{x}{x} \times 78$ , which simplifies to $1 \times 78$ (or just $78$ ).
Thus, the equation becomes: $78 = 32 x$
To find x, divide both sides by 32: $\frac{78}{32} = \frac{32 x}{32}$
Which gives, after simplification: $2.4375 = x$ (or $x = 2.4375$ )

So, if the dividend is 78 and the quotient is 32, the divisor is 2.4375.