The dividend is seven times the divisor, and the divisor is seven times the quotient. What is the dividend?

Let the divisor be x.
Then the dividend is 7x, since the dividend is 7 times the divisor.
To find the quotient, the dividend (7x) is divided by the divisor (x).
7x: x = 7
The quotient is 7.
To find the divisor, the quotient (7) is multiplied by 7, since the divisor is 7 times the quotient.
7 * 7 = 49
The divisor is 49.
To find the dividend, the divisor (49) is multiplied by 7, since the dividend is 7 times the divisor.
49 * 7 = 343
Answer: the dividend is 343.