Final answer:
To find 864 divided by 4 using an area model, divide 864 into smaller parts that are all multiples of 4 (800, 60, and 4) and add up the results of each division (200, 15, and 1) to get the final answer, 216.
Step-by-step explanation:
To complete the area model for dividing 864 by 4, you divide the number 864 into parts that are easily divisible by 4. Start by thinking of how many hundreds, tens, and ones 864 has and how you can divide each by 4.
Since 800 is divisible by 4, you place 800 in one part of the model because 800 divided by 4 equals 200.
The remaining 64 needs to be divided into parts that are divisible by 4 as well.
The number 60 is divisible by 4, so place it in another part because 60 divided by 4 equals 15.
Finally, the remaining 4 is already divisible by 4, so it goes into the last part, and 4 divided by 4 equals 1.
Combine the results from these divisions to find the total, which is 200 + 15 + 1, equating to 216.
Therefore, 864 divided by 4 equals 216.