What is x when 82 divided by x equals 11?

In other words, what would the divisor be if the dividend were 82 and the quotient 11?

To find the answer, just divide the dividend by the quotient: 82 ÷ 11 = 7.4545454545455

To prove this, let's compute 82 divided by 7.4545454545455: 82 7.4545454545455 = 11

How does it work?

Asking what the value of x could be when 82 divided by x gives a result of 11, is equivalent to solving the following equation:

82 x = 11

  1. Multiply both sides by x: 82 x x = 11 x
  2. 82 x x is equivalent to x x × 82 , which simplifies to 1 × 82 (or just 82 ).
  3. Thus, the equation becomes: 82 = 11 x
  4. To find x, divide both sides by 11: 82 11 = 11 x 11
  5. Which gives, after simplification: 7.4545454545455 = x (or x = 7.4545454545455 )

So, if the dividend is 82 and the quotient is 11, the divisor is 7.4545454545455.