What is x when 13 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 13 ÷ 10 = 1.3

To prove this, let's compute 13 divided by 1.3: $\frac{13}{1.3} = 10$

How does it work?

Asking what the value of x could be when 13 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{13}{x} = 10$

Multiply both sides by x: $\frac{13 x}{x} = 10 x$
$\frac{13 x}{x}$ is equivalent to $\frac{x}{x} \times 13$ , which simplifies to $1 \times 13$ (or just $13$ ).
Thus, the equation becomes: $13 = 10 x$
To find x, divide both sides by 10: $\frac{13}{10} = \frac{10 x}{10}$
Which gives, after simplification: $1.3 = x$ (or $x = 1.3$ )

So, if the dividend is 13 and the quotient is 10, the divisor is 1.3.