Final answer:
To divide 6784 by 32 using long division, you subtract multiples of 32 from each set of digits in sequence until you reach the end of the number with a final result of 212.
Step-by-step explanation:
To calculate 6784 ÷ 32 using long division, you start by seeing how many times 32 goes into the first two digits of 6784, which is 67. Since 32 times 2 is 64, you can subtract 64 from 67 to get a remainder of 3. Next, you bring down the next digit from the dividend, which is 8, to get 38. Divide 38 by 32 to get 1 with a remainder of 6. Bring down the next digit, 4, to get 64. Divide 64 by 32 to get 2 with no remainder. The final result of 6784 ÷ 32 is 212.
It's important to note that rounding rules apply to division just as they do to other operations. When using a calculator, significant figures must be considered. However, since we're doing exact division here, this principle does not apply to the question at hand.