12842 ÷ 3 
Our goal is to divide 12842 by 3.

Let's proceed to step 1:
1 divided by 3 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 3

Going ahead to step 2:
12 divided by 3 is 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 12 from 12 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 3

Step 3:
8 divided by 3 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtract 6 from 8 to get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 3

On to step 4:
When dividing 24 by 3, we get 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 428.0
Subtracting 24 from 24 leaves us with 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 3

Going ahead to step 5:
The number 3 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 4280.0
Subtracting 0 from 2 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
20 divided by 3 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 4280.6
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
20 divided by 3 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 4280.66
Deduct 18 from 20 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 4280.66 with a remainder of 0.002.