What is x when 26 divided by x equals 32?

To find the answer, just divide the dividend by the quotient: 26 ÷ 32 = 0.8125

To prove this, let's compute 26 divided by 0.8125: $\frac{26}{0.8125} = 32$

How does it work?

Asking what the value of x could be when 26 divided by x gives a result of 32, is equivalent to solving the following equation:

$\frac{26}{x} = 32$

Multiply both sides by x: $\frac{26 x}{x} = 32 x$
$\frac{26 x}{x}$ is equivalent to $\frac{x}{x} \times 26$ , which simplifies to $1 \times 26$ (or just $26$ ).
Thus, the equation becomes: $26 = 32 x$
To find x, divide both sides by 32: $\frac{26}{32} = \frac{32 x}{32}$
Which gives, after simplification: $0.8125 = x$ (or $x = 0.8125$ )

So, if the dividend is 26 and the quotient is 32, the divisor is 0.8125.