What is x when 89 divided by x equals 34?

To find the answer, just divide the dividend by the quotient: 89 ÷ 34 = 2.6176470588235

To prove this, let's compute 89 divided by 2.6176470588235: $\frac{89}{2.6176470588235} = 34$

How does it work?

Asking what the value of x could be when 89 divided by x gives a result of 34, is equivalent to solving the following equation:

$\frac{89}{x} = 34$

Multiply both sides by x: $\frac{89 x}{x} = 34 x$
$\frac{89 x}{x}$ is equivalent to $\frac{x}{x} \times 89$ , which simplifies to $1 \times 89$ (or just $89$ ).
Thus, the equation becomes: $89 = 34 x$
To find x, divide both sides by 34: $\frac{89}{34} = \frac{34 x}{34}$
Which gives, after simplification: $2.6176470588235 = x$ (or $x = 2.6176470588235$ )

So, if the dividend is 89 and the quotient is 34, the divisor is 2.6176470588235.