We're dividing 355686 by 11 
We want to figure out the number of times 355686 can be divided by 11.

Moving on to step 1:
The number 11 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 11

Advancing to step 2:
If we divide 35 by 11, we get 3 and a remainder of 2.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 33 from 35, we get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 11

Moving on to step 3:
When dividing 25 by 11, we get 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 32.0
The remainder is 3 after subtracting 22 from 25.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 11

Step 4:
11 goes into 36 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 323.0
If we take 33 away from 36, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 11

Let's proceed to step 5:
11 can be fit into 38 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 3233.0
Subtracting 33 from 38 leaves us with 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 11

On to step 6:
56 divided by 11 is 5 with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 32335.0
If we subtract 55 from 56, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 divided by 11 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 32335.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
100 divided by 11 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 32335.09
Subtract 99 from 100 to get 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 9:
If we divide 10 by 11, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 32335.09
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
When dividing 100 by 11, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 32335.0909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 32335.0909
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 32335.090909
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
11 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 32335.090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 14:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 32335.09090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 32335.09090909 and a remainder of 1e-09.