What is x when 61 divided by x equals 34?

To find the answer, just divide the dividend by the quotient: 61 ÷ 34 = 1.7941176470588

To prove this, let's compute 61 divided by 1.7941176470588: $\frac{61}{1.7941176470588} = 34$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 34, is equivalent to solving the following equation:

$\frac{61}{x} = 34$

Multiply both sides by x: $\frac{61 x}{x} = 34 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 34 x$
To find x, divide both sides by 34: $\frac{61}{34} = \frac{34 x}{34}$
Which gives, after simplification: $1.7941176470588 = x$ (or $x = 1.7941176470588$ )

So, if the dividend is 61 and the quotient is 34, the divisor is 1.7941176470588.