https://file.aiquickdraw.com/mathbot/file/1727978788854d2xignwp.jpg

The image shows a long division problem where 827 is being divided by 8. Let's break down the steps shown:

1. **First step**: 
   - Divide 8 into the first digit of 827 (which is 8). 
   - 8 goes into 8 one time, so write **1** above.
   - Subtract: \( 8 - 8 = 0 \).
   - Bring down the next digit, which is **2**.

2. **Second step**:
   - Now divide 8 into **2**. Since 8 doesn't go into 2, write **0** above.
   - Bring down the next digit, which is **7**, making it **27**.

3. **Third step**:
   - Divide 8 into 27. 8 goes into 27 three times (8 × 3 = 24).
   - Write **3** above.
   - Subtract: \( 27 - 24 = 3 \).

4. **Final step**:
   - The remainder is **3**. Since there are no more digits to bring down, the final answer is **103** with a remainder of **3**.

The full division can be written as:

\[
827 \div 8 = 103 \, R3
\]

Would you like any further details or clarifications on the long division steps?

Here are five questions that expand on this topic:
1. How would you verify the answer to this division problem?
2. What happens if you continue dividing after getting the remainder?
3. How would you express this division as a mixed number or decimal?
4. What is the process for dividing larger numbers by multi-digit divisors?
5. How can you estimate the result of a division without doing the exact calculation?

**Tip**: When dividing large numbers, it can help to round the divisor and dividend to estimate the quotient before doing the exact calculations.

Learn how to solve 827 divided by 8 using long division. The final result is 103 with a remainder of 7. This detailed breakdown is perfect for students in Grades 4-6 who are practicing long division.

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