Answer
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Step 1:I'll solve this problem step by step using the area model method for division.
Step 2:: Set up the Area Model Grid
- We'll create a grid to represent 476 ÷ 7 - Break down 476 into its place values: 400 + 70 + 6
Step 3:: Divide Each Place Value
- 6 ÷ 7 = $$\frac{6}{7} = 0 \text{ remainder } 6
- 70 ÷ 7 = \frac{70}{7} = 10
Step 4:: Create the Area Model
``` 7 | 400 70 6 | 57 10 0 --------------- 343 70 0 6 --------------- 68 0 6 ```
Step 5:: Verify the Calculation
- $$0 \times 7 = 0
- 10 \times 7 = 70 - Remainder: 6
Final Answer
The area model shows that 476 \div 7 = 68 with a remainder of 6.
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