Answer: 11/3
Step-by-step explanation: To find the quotient of -6 7/8 ÷ (-3 3/4), we can convert both mixed numbers to improper fractions and then perform the division.
-6 7/8 can be written as -55/8 and -3 3/4 can be written as -15/4.
Now, we can divide -55/8 by -15/4:
(-55/8) ÷ (-15/4) = (55/8) ÷ (15/4) = (55/8) * (4/15) = 11/3
Therefore, the quotient of -6 7/8 ÷ (-3 3/4) is 11/3.