546 divided by 8 show your WORK :)

Answer 1

To divide 546 by 8, we can use long division. Here’s a step-by-step breakdown:

1. Set up the long division: Write 546 under the division symbol and 8 outside.

    ______
8 | 546

2. Divide the first digit: Look at the first digit of 546, which is 5. Since 5 is less than 8, we move to the first two digits, 54.

3. Divide 54 by 8:

   • 8 goes into 54 a total of 6 times because \(8 \times 6 = 48\).
   • Write 6 above the division line.

    6
    ______
8 | 546
   -48

4. Subtract to find the remainder:
   • Subtract 48 from 54: \(54 - 48 = 6\).

    6
    ______
8 | 546
   -48
    ----
     6

5. Bring down the next digit: Bring down the next digit from 546, which is 6, making the number now 66.

    6
    ______
8 | 546
   -48
    ----
     66

6. Divide 66 by 8:
   • 8 goes into 66 a total of 8 times because \(8 \times 8 = 64\).
   • Write 8 above the division line next to the 6.

    68
    ______
8 | 546
   -48
    ----
     66
    -64

7. Subtract to find the new remainder:
   • Subtract 64 from 66: \(66 - 64 = 2\).

    68
    ______
8 | 546
   -48
    ----
     66
    -64
    ----
      2

8. Check for any remaining digits: There are no more digits to bring down, so the division is complete.

The final result is:

• Quotient: 68
• Remainder: 2

Thus, \(546 \div 8 = 68\) with a remainder of \(2\).

If written in a different way:
\(546 = 8 \times 68 + 2\)

So, the answer can be expressed as:

• Quotient: 68
• Remainder: 2

Or in decimal form:
The final answer is \(68.25\) because \(2 \div 8 = 0.25\).