What is x when 52 divided by x equals 78?

To find the answer, just divide the dividend by the quotient: 52 ÷ 78 = 0.66666666666667

To prove this, let's compute 52 divided by 0.66666666666667: $\frac{52}{0.66666666666667} = 78$

How does it work?

Asking what the value of x could be when 52 divided by x gives a result of 78, is equivalent to solving the following equation:

$\frac{52}{x} = 78$

Multiply both sides by x: $\frac{52 x}{x} = 78 x$
$\frac{52 x}{x}$ is equivalent to $\frac{x}{x} \times 52$ , which simplifies to $1 \times 52$ (or just $52$ ).
Thus, the equation becomes: $52 = 78 x$
To find x, divide both sides by 78: $\frac{52}{78} = \frac{78 x}{78}$
Which gives, after simplification: $0.66666666666667 = x$ (or $x = 0.66666666666667$ )

So, if the dividend is 52 and the quotient is 78, the divisor is 0.66666666666667.