Let's solve \( 6478 \div 8 \) step by step using long division.

### Step 1: Setup the Division
You want to divide 6478 by 8. Write it out as a long division problem.

\[
\begin{array}{r|l}
   & 6478 \div 8 \\
\end{array}
\]

### Step 2: Divide the First Digit
Start with the first digit (6):
- \( 6 \div 8 \) = 0 (since 8 is larger than 6, it goes 0 times).
- No quotient yet, move to the next digit.

### Step 3: Divide the First Two Digits
Now consider the first two digits (64):
- \( 64 \div 8 \) = 8 (because \( 8 \times 8 = 64 \)).
- Write 8 above the line as the first digit of the quotient.

Subtract:
\[
64 - 64 = 0
\]
Move the next digit down (7).

### Step 4: Divide the Next Digit
Now consider the next digit (7):
- \( 7 \div 8 \) = 0 (because 8 is larger than 7).
- Write 0 above the line in the quotient.
Move the next digit down (8).

### Step 5: Divide the Next Two Digits
Now consider the last two digits (78):
- \( 78 \div 8 \) = 9 (because \( 8 \times 9 = 72 \)).
- Write 9 above the line in the quotient.

Subtract:
\[
78 - 72 = 6
\]

### Step 6: Find the Remainder
After the last subtraction, you're left with 6. Since 6 is less than 8 and there are no more digits to bring down, 6 is the remainder.

### Final Answer
The quotient is 809, and the remainder is 6.

So, \( 6478 \div 8 = 809 \) with a remainder of 6, or expressed as a decimal:
\[
809.75
\]

Would you like further clarification or details?

Here are five related questions to practice:

1. What is 9384 ÷ 7 with a remainder?
2. Divide 4517 by 6 using long division.
3. Find 7321 ÷ 9.
4. What is 1562 ÷ 4?
5. Solve \( 8342 \div 12 \) with solutions.

**Tip:** When dividing, always remember to check your work by multiplying the quotient by the divisor and adding the remainder to ensure accuracy!

Learn how to divide 6478 by 8 using long division with a detailed step-by-step solution. This problem covers basic division concepts and is suitable for students in Grades 4-6.

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