We divide 113661 by 11
We're looking to find how many times 11 goes into 113661.

Going ahead to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 11

Going ahead to step 2:
11 goes into 11 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 11 from 11, we get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 11

Going ahead to step 3:
The number 11 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 11

Moving on to step 4:
36 divided by 11 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 103.0
If we take 33 away from 36, we end up with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 11

Advancing to step 5:
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: 1033.0
Subtracting 33 from 36 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 11

Let's proceed to step 6:
11 can be fit into 31 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 10332.0
Subtract 22 from 31 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10332.8
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 10332.81
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10332.818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 10332.8181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
11 goes into 90 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10332.81818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
If we divide 20 by 11, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10332.818181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10332.8181818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10332.81818181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final result is 10332.81818181 with a remainder of 9e-09.