What is x when 69 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 69 ÷ 10 = 6.9

To prove this, let's compute 69 divided by 6.9: $\frac{69}{6.9} = 10$

How does it work?

Asking what the value of x could be when 69 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{69}{x} = 10$

Multiply both sides by x: $\frac{69 x}{x} = 10 x$
$\frac{69 x}{x}$ is equivalent to $\frac{x}{x} \times 69$ , which simplifies to $1 \times 69$ (or just $69$ ).
Thus, the equation becomes: $69 = 10 x$
To find x, divide both sides by 10: $\frac{69}{10} = \frac{10 x}{10}$
Which gives, after simplification: $6.9 = x$ (or $x = 6.9$ )

So, if the dividend is 69 and the quotient is 10, the divisor is 6.9.