Final answer:
To divide 74 by 2 using partial quotients, start with an easy multiple of 2, such as 30, subtract from 74 to get 14, and then see how many times 2 fits into 14. The partial quotients in this case are 30 and 7, which add up to the quotient of 37.
Step-by-step explanation:
To find the result of dividing 74 by 2 using partial quotients, we follow these steps:
- Begin by determining how many times 2 goes into 74 without exceeding it. We can start with a multiple that is easy to handle, such as 30 (since 2 times 30 is 60), and subtract 60 from 74, which leaves us with 14.
- Next, we determine how many times 2 goes into the remaining 14. Since 2 times 7 equals 14, we take 7 as another partial quotient.
- Adding the partial quotients together, we have 30 + 7, which equals 37. Thus, the quotient of 74 divided by 2 is 37.
Therefore, the partial quotients employed in this division are 30 and 7.