What is x when 61 divided by x equals 57?

To find the answer, just divide the dividend by the quotient: 61 ÷ 57 = 1.0701754385965

To prove this, let's compute 61 divided by 1.0701754385965: $\frac{61}{1.0701754385965} = 57$

How does it work?

Asking what the value of x could be when 61 divided by x gives a result of 57, is equivalent to solving the following equation:

$\frac{61}{x} = 57$

Multiply both sides by x: $\frac{61 x}{x} = 57 x$
$\frac{61 x}{x}$ is equivalent to $\frac{x}{x} \times 61$ , which simplifies to $1 \times 61$ (or just $61$ ).
Thus, the equation becomes: $61 = 57 x$
To find x, divide both sides by 57: $\frac{61}{57} = \frac{57 x}{57}$
Which gives, after simplification: $1.0701754385965 = x$ (or $x = 1.0701754385965$ )

So, if the dividend is 61 and the quotient is 57, the divisor is 1.0701754385965.