What is x when 61 divided by x equals 14?

To find the answer, just divide the dividend by the quotient: 61 ÷ 14 = 4.3571428571429

To prove this, let's compute 61 divided by 4.3571428571429: $\frac{61}{4.3571428571429} = 14$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 14, is equivalent to solving the following equation:

$\frac{61}{x} = 14$

Multiply both sides by x: $\frac{61 x}{x} = 14 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 14 x$
To find x, divide both sides by 14: $\frac{61}{14} = \frac{14 x}{14}$
Which gives, after simplification: $4.3571428571429 = x$ (or $x = 4.3571428571429$ )

So, if the dividend is 61 and the quotient is 14, the divisor is 4.3571428571429.