What is x when 31 divided by x equals 7?

To find the answer, just divide the dividend by the quotient: 31 ÷ 7 = 4.4285714285714

To prove this, let's compute 31 divided by 4.4285714285714: $\frac{31}{4.4285714285714} = 7$

How does it work?

Asking what the value of x could be when 31 divided by x gives a result of 7, is equivalent to solving the following equation:

$\frac{31}{x} = 7$

Multiply both sides by x: $\frac{31 x}{x} = 7 x$
$\frac{31 x}{x}$ is equivalent to $\frac{x}{x} \times 31$ , which simplifies to $1 \times 31$ (or just $31$ ).
Thus, the equation becomes: $31 = 7 x$
To find x, divide both sides by 7: $\frac{31}{7} = \frac{7 x}{7}$
Which gives, after simplification: $4.4285714285714 = x$ (or $x = 4.4285714285714$ )

So, if the dividend is 31 and the quotient is 7, the divisor is 4.4285714285714.