136621 ÷ 11 
Our goal is to divide 136621 by 11.

On to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 11

Moving on to step 2:
11 can be fit into 13 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 11 from 13 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 11

Going ahead to step 3:
If we divide 26 by 11, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 22 from 26 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 11

Let's proceed to step 4:
11 can be fit into 46 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 124.0
Subtracting 44 from 46 leaves us with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 11

Advancing to step 5:
22 divided by 11 is 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 1242.0
Deduct 22 from 22 and we're left with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 11

Moving on to step 6:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 12420.0
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.

Going ahead to step 7:
11 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 12420.0
The remainder is 10 after subtracting 0 from 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:
When dividing 100 by 11, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 12420.09
Subtracting 99 from 100 leaves us 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 9:
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: 12420.09
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:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 12420.0909
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.

Advancing to step 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 12420.0909
If we take 0 away from 10, we end up 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:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 12420.090909
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.

Step 13:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 12420.090909
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.

Let's proceed to step 14:
When dividing 100 by 11, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 12420.09090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 12420.09090909 with a balance of 1e-09.