Final answer:
To complete the division of 8766 by 14, we use the standard division algorithm to determine each digit of the quotient step by step, resulting in the final answer of 626.
Step-by-step explanation:
To complete the division calculation 8766 / 14, we implement the standard division algorithm. We begin by determining how many times 14 goes into the leading digits of 8766. Starting from the left, 14 goes into 87 six times, which gives us 84, and we subtract to get a remainder of 3. Bringing down the next digit (6) gives us 36. 14 goes into 36 two times without exceeding it, which gives us 28. We subtract again and bring down the last digit, which is 6, to get 86. Finally, 14 goes into 86 exactly six times. Therefore, the complete calculation is 8766 / 14 = 626.