105855 divided by 11 
Our goal is to divide 105855 by 11.

Step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 11

Going ahead to step 2:
When dividing 10 by 11, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 11

Let's proceed to step 3:
If we divide 105 by 11, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 6 after subtracting 99 from 105.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 11

Step 4:
When dividing 68 by 11, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 2 after subtracting 66 from 68.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 11

Moving on to step 5:
11 can be fit into 25 2 times, resulting in a remainder of 3.
The next digit of our result is 2. 
Result so far: 962.0
Subtracting 22 from 25 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 11

On to step 6:
35 divided by 11 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 9623.0
Subtract 33 from 35 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.

Advancing to step 7:
If we divide 20 by 11, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 9623.1
Deduct 11 from 20 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.

Advancing to step 8:
If we divide 90 by 11, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 9623.18
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 9:
11 can be fit into 20 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 9623.181
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.

Step 10:
90 divided by 11 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 9623.1818
If we subtract 88 from 90, we 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.

Let's proceed to step 11:
20 divided by 11 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 9623.18181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9623.181818
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 13:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 9623.1818181
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.

Going ahead to step 14:
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: 9623.18181818
If we take 88 away from 90, we end up 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.

In conclusion, the division gives 9623.18181818 with a balance of 2e-09.