We look at the division of 137166 by 11 
Let's see how many times 11 fits into 137166.

Advancing to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 11

Going ahead to step 2:
11 can be fit into 13 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we take 11 away from 13, we end up with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 11

Let's proceed to step 3:
27 divided by 11 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 22 away from 27, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

Advancing to step 4:
51 divided by 11 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 124.0
The remainder is 7 after subtracting 44 from 51.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 11

On to step 5:
11 goes into 76 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 1246.0
Deduct 66 from 76 and we're left with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 11

Moving on to step 6:
The number 11 fits into 106 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 12469.0
Deduct 99 from 106 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
11 goes into 70 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12469.6
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 12469.63
The remainder is 7 after subtracting 33 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
The number 11 fits into 70 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 12469.636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
11 can be fit into 40 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 12469.6363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
11 goes into 70 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 12469.63636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The next digit of our result is 3. 
Result so far: 12469.636363
If we subtract 33 from 40, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 12469.6363636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 14:
40 divided by 11 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 12469.63636363
If we take 33 away from 40, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 12469.63636363, with a leftover of 7e-09.