Final answer:
To complete the division calculation of 14 divided by 8756, the first digit of the quotient is determined to be 2. This is because 14 can go into 87 exactly 6 times, and then into 35 (after bringing the next digit down) only up to twice. Therefore, option c) 2 is the correct answer.
Step-by-step explanation:
The question is asking which number should be placed in the box to complete the division calculation: 14 divided by 8756. To solve this, we need to divide 8756 by 14 and determine the first digit in the quotient. When doing the division, we can see that 14 cannot go into 8, but it can go into 87 six times because 14 times 6 is 84, which is the largest multiple of 14 that doesn't exceed 87. So after subtracting, we have a remainder of 3 and bring down the next digit, 5, to make 35. However, 14 cannot go into 35 more than twice without exceeding it.
Therefore, 14 goes into 356 (the result of appending next digit 6) at most 25 times without exceeding the number. Since the first integer portion of this division calculation would be 6, option a) 0 is not correct. Since 14 goes into 356 more than once, option b) 1 is also incorrect. Option c) 2 is the correct choice as it fits the calculation, and option d) 3 is not correct as 14 multiplied by 3 exceeds the number we are examining, which is 35.
Therefore, 2 is the number that should be placed in the box to help complete the division calculation.