We divide 134965 by 11
We're looking to find how many times 11 goes into 134965.

Step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
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

Step 2:
11 can be fit into 13 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 11 from 13, we get 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 11

On to step 3:
When dividing 24 by 11, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 22 from 24 leaves us with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 11

Going ahead to step 4:
29 divided by 11 is 2 with a remainder of 7.
The next digit of our result is 2. 
Result so far: 122.0
If we subtract 22 from 29, we get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 11

Going ahead to step 5:
If we divide 76 by 11, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1226.0
If we take 66 away from 76, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 11

Moving on to step 6:
11 can be fit into 105 9 times, resulting in a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 12269.0
If we take 99 away from 105, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12269.5
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
50 divided by 11 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 12269.54
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
If we divide 60 by 11, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 12269.545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
If we divide 50 by 11, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 12269.5454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 12269.54545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
When dividing 50 by 11, we get 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 12269.545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
If we divide 60 by 11, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 12269.5454545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
When dividing 50 by 11, we get 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 12269.54545454
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 12269.54545454 with a remainder of 6e-09.