Let's divide 136623 by 11
We're looking to find how many times 11 goes into 136623.

Advancing to step 1:
11 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 11

Going ahead to step 2:
If we divide 13 by 11, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 11 from 13 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 11

On to step 3:
If we divide 26 by 11, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 4 after subtracting 22 from 26.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 11

Advancing to step 4:
46 divided by 11 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 124.0
If we take 44 away from 46, we end up with 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 11

Moving on 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
If we take 22 away from 22, we end up with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 11

Going ahead to step 6:
The number 11 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 12420.0
Subtracting 0 from 3 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
When dividing 30 by 11, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 12420.2
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
80 divided by 11 is 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 12420.27
If we subtract 77 from 80, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
The number 11 fits into 30 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 12420.272
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 12420.2727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
11 goes into 30 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 12420.27272
Subtracting 22 from 30 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
80 divided by 11 is 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 12420.272727
Deduct 77 from 80 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 13:
When dividing 30 by 11, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 12420.2727272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
If we divide 80 by 11, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 12420.27272727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 12420.27272727 with a remainder of 3e-09.