What is x when 32 divided by x equals 78?

To find the answer, just divide the dividend by the quotient: 32 ÷ 78 = 0.41025641025641

To prove this, let's compute 32 divided by 0.41025641025641: $\frac{32}{0.41025641025641} = 78$

How does it work?

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

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

Multiply both sides by x: $\frac{32 x}{x} = 78 x$
$\frac{32 x}{x}$ is equivalent to $\frac{x}{x} \times 32$ , which simplifies to $1 \times 32$ (or just $32$ ).
Thus, the equation becomes: $32 = 78 x$
To find x, divide both sides by 78: $\frac{32}{78} = \frac{78 x}{78}$
Which gives, after simplification: $0.41025641025641 = x$ (or $x = 0.41025641025641$ )

So, if the dividend is 32 and the quotient is 78, the divisor is 0.41025641025641.