What is x when 31 divided by x equals 26?

To find the answer, just divide the dividend by the quotient: 31 ÷ 26 = 1.1923076923077

To prove this, let's compute 31 divided by 1.1923076923077: $\frac{31}{1.1923076923077} = 26$

How does it work?

Asking what the value of x could be when 31 divided by x gives a result of 26, is equivalent to solving the following equation:

$\frac{31}{x} = 26$

Multiply both sides by x: $\frac{31 x}{x} = 26 x$
$\frac{31 x}{x}$ is equivalent to $\frac{x}{x} \times 31$ , which simplifies to $1 \times 31$ (or just $31$ ).
Thus, the equation becomes: $31 = 26 x$
To find x, divide both sides by 26: $\frac{31}{26} = \frac{26 x}{26}$
Which gives, after simplification: $1.1923076923077 = x$ (or $x = 1.1923076923077$ )

So, if the dividend is 31 and the quotient is 26, the divisor is 1.1923076923077.