Final answer:
To calculate 684 divided by 57 using partial quotients, you start by estimating how many times 57 fits into 684, subtract that from 684, and repeat until you reach 0. The partial quotients are added together to get the final quotient.
Step-by-step explanation:
To find the answer to 684÷57 using the partial quotients method, you would divide 684 by 57 by estimating and subtracting partial quotients until you've accounted for the entire 684. Here's a step-by-step example:
- Estimate how many times 57 can fit into 684. It's a bit more than 10 times (since 57 times 10 is 570), so let's start by subtracting 570 (10 times 57) from 684. This leaves us with 114.
- Now, estimate how many times 57 can fit into 114. It fits exactly 2 times, so subtract 114 (2 times 57) from 114, which leaves us with 0.
- Add up the partial quotients. We have estimated 10 and then added 2, so 57 goes into 684 a total of 12 times.
So, 684÷57 equals 12, with a remainder of 0.