What is x when 34 divided by x equals 10?

To find the answer, just divide the dividend by the quotient: 34 ÷ 10 = 3.4

To prove this, let's compute 34 divided by 3.4: $\frac{34}{3.4} = 10$

How does it work?

Asking what the value of x could be when 34 divided by x gives a result of 10, is equivalent to solving the following equation:

$\frac{34}{x} = 10$

Multiply both sides by x: $\frac{34 x}{x} = 10 x$
$\frac{34 x}{x}$ is equivalent to $\frac{x}{x} \times 34$ , which simplifies to $1 \times 34$ (or just $34$ ).
Thus, the equation becomes: $34 = 10 x$
To find x, divide both sides by 10: $\frac{34}{10} = \frac{10 x}{10}$
Which gives, after simplification: $3.4 = x$ (or $x = 3.4$ )

So, if the dividend is 34 and the quotient is 10, the divisor is 3.4.