We're dividing 21228 by 11 
We want to divide 21228 by 11.

Going ahead to step 1:
When dividing 2 by 11, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 11

On to step 2:
11 goes into 21 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 10 after subtracting 11 from 21.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 11

Let's proceed to step 3:
102 divided by 11 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we take 99 away from 102, we end up with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 11

Advancing to step 4:
When dividing 32 by 11, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 192.0
If we subtract 22 from 32, we get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 11

Advancing to step 5:
When dividing 108 by 11, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 1929.0
Deduct 99 from 108 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 6:
When dividing 90 by 11, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 1929.8
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
11 goes into 20 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1929.81
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1929.818
Subtracting 88 from 90 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.

On to step 9:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1929.8181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 10:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1929.81818
Deduct 88 from 90 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.

On to step 11:
20 divided by 11 is 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1929.818181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
If we divide 90 by 11, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1929.8181818
Subtracting 88 from 90 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.

On to step 13:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1929.81818181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 1929.81818181 with a balance of 9e-09.