In a logistics application, a coordinator uses the polynomial $x^4 - 7x^2 + 7x + 6$ to model the volume of shipments. To calculate the average volume per container size represented by $x + 3$, the coordinator performs polynomial long division. Based on the procedural steps for this specific division, what is the correct final quotient?

A supply chain coordinator is using the polynomial $x^4 - 7x^2 + 7x + 6$ to model inventory costs and needs to divide it by the factor $x + 3$. Arrange the following components of the quotient in the order they are calculated using polynomial long division, from the highest degree term to the final remainder fraction.

A quality control technician is reviewing a calculation where the polynomial $x^4 - 7x^2 + 7x + 6$ is divided by $x + 3$ using long division. To maintain proper term alignment and ensure an accurate result, a placeholder term of ${}0x^3$ must be inserted into the dividend.

A logistics coordinator is dividing a total shipping volume modeled by $x^4 - 7x^2 + 7x + 6$ by the container capacity factor $x + 3$. According to the results of the polynomial long division, match each part of the calculation with its correct description.

A logistics coordinator at a shipping firm uses the polynomial $(x^4 - 7x^2 + 7x + 6)$ to model the total weight of a cargo load. To find the average weight per container for a container size factor of $(x + 3)$, the coordinator performs polynomial long division. After completing the calculation for this specific division, the coordinator finds that the constant remainder is ____.