We're dividing 282121 by 6 
We want to figure out the number of times 282121 can be divided by 6.

On to step 1:
If we divide 2 by 6, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 6

Advancing to step 2:
6 can be fit into 28 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 4 after subtracting 24 from 28.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 6

Going ahead to step 3:
6 can be fit into 42 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 47.0
Subtracting 42 from 42 leaves us with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 6

Moving on to step 4:
6 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 470.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Let's proceed to step 5:
If we divide 12 by 6, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 4702.0
If we subtract 12 from 12, we get 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 6

Step 6:
The number 6 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 47020.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 6 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 47020.1
Subtract 6 from 10 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 47020.16
If we take 36 away from 40, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 47020.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 47020.166 with a balance of 0.0004.