We're dividing 42819 by 6 
Our goal is to divide 42819 by 6.

Going ahead to step 1:
The number 6 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 6

Going ahead to step 2:
42 divided by 6 is 7 with a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 42 from 42 leaves us with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 6

On to step 3:
When dividing 8 by 6, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 71.0
Subtracting 6 from 8 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 6

On to step 4:
6 goes into 21 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 713.0
Subtract 18 from 21 to get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 6

On to step 5:
39 divided by 6 is 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 7136.0
The remainder is 3 after subtracting 36 from 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 6:
The number 6 fits into 30 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 7136.5
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
6 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7136.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
The number 6 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7136.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 7136.5 with a balance of 0.0.