Question

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 \(2 \div 8 = 0.25\).