What is x when 78 divided by x equals 7?

In other words, what would the divisor be if the dividend were 78 and the quotient 7?

To find the answer, just divide the dividend by the quotient: 78 ÷ 7 = 11.142857142857

To prove this, let's compute 78 divided by 11.142857142857: 78 11.142857142857 = 7

How does it work?

Asking what the value of x could be when 78 divided by x gives a result of 7, is equivalent to solving the following equation:

78 x = 7

  1. Multiply both sides by x: 78 x x = 7 x
  2. 78 x x is equivalent to x x × 78 , which simplifies to 1 × 78 (or just 78 ).
  3. Thus, the equation becomes: 78 = 7 x
  4. To find x, divide both sides by 7: 78 7 = 7 x 7
  5. Which gives, after simplification: 11.142857142857 = x (or x = 11.142857142857 )

So, if the dividend is 78 and the quotient is 7, the divisor is 11.142857142857.