What is x when 34 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 34 ÷ 8 = 4.25

To prove this, let's compute 34 divided by 4.25: $\frac{34}{4.25} = 8$

How does it work?

Asking what the value of x could be when 34 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{34}{x} = 8$

Multiply both sides by x: $\frac{34 x}{x} = 8 x$
$\frac{34 x}{x}$ is equivalent to $\frac{x}{x} \times 34$ , which simplifies to $1 \times 34$ (or just $34$ ).
Thus, the equation becomes: $34 = 8 x$
To find x, divide both sides by 8: $\frac{34}{8} = \frac{8 x}{8}$
Which gives, after simplification: $4.25 = x$ (or $x = 4.25$ )

So, if the dividend is 34 and the quotient is 8, the divisor is 4.25.