Divide 129 by 42 using long division. Show each step in detail.
user
Sure, let's break down the division for you. We'll use the algorithm traditionally taught for division, known as the long division method.

1. Write down the dividend (129) above the division line:

```
|------129------|
```

2. Write down the divisor (42) below the division line:

```
|------129------|
|----42--------|
```

3. Divide the first digit of the dividend (1) by the first digit of the divisor (4). The quotient is zero, so write this in the quotient box:

```
|------129------|
|----42--------|
  | 0        |
```

4. Multiply the remainder (2) by 4:

```
|------129------|
|----42--------|
  | 0        |
 |  8       |
```

5. Add this product to the quotient:

```
|------129------|
|----42--------|
  | 0        |
 |  8       |
------3-------|
```

6. The remainder is 3, so write this in the next place in the quotient:

```
|------129------|
|----42--------|
  | 3        |  8
 |  8       |
------3-------|
```

7. Divide the new dividend (1) by the divisor (42). The quotient is zero again, so write this in the quotient box:

```
|------129------|
|----42--------|
  | 3        |  8
 |  8       |
|   0       |72
------3-------|
```

8. Multiply the remainder (1) by 42:

```
|------129------|
|----42--------|
  | 3        |  8
 |  8       |
|   0       |72
|   42     |
------3-------|
```

9. Add this product to the quotient:

```
|------129------|
|----42--------|
  | 3        |  8
 |  8       |
|   0       |72
|   42     |
------3-------|
    | 0    | 120
```

Since there's nothing left in the dividend, your answer is now complete. So, 129 divided by 42 is 3 remainder 3. Seems you caught the fact that dividing 129 by 42 is impossible unless fractions are involved. In that case, the remainder would be 3 as it is shown above.
assistant
Divide 129 by 42 using long division. Show each step in detail.
user
Sure, I'd be happy to help you with that. Here's how you can do long division of 129 by 42:

Step 1: Set it up.
You write it as 129 ÷ 42 or in long division format:

            ____
    42 | 129

Step 2: How many times does 42 go into the first number (1)?
It doesn't. So, we move to the next number (12).

Step 3: How many times does 42 go into 12?
It doesn't. So, we move to the next number (129).

Step 4: How many times does 42 go into 129?
It goes 3 times. 3 times 42 is 126. Write the 3 above the line, and subtract 126 from 129:

            3
            ____
    42 | 129
        -126
        _____
            3

Step 5: Bring down the next number.
There are no more numbers to bring down. So, we stop here.

Step 6: Write the remainder.
The remainder is 3. So, we write it as a fraction over the divisor (42):

           3
           ---
           42

So, 129 divided by 42 is 3 remainder 3, or as a mixed number, it's 3 3/42. This fraction can be simplified to 3 1/14.
assistant