13631 divided by 11 
We want to divide 13631 by 11.

Going ahead to step 1:
If we divide 1 by 11, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 11

Step 2:
If we divide 13 by 11, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 11 from 13 and we're left with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 11

Let's proceed to step 3:
If we divide 26 by 11, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 22 away from 26, we end up with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 11

Advancing to step 4:
11 can be fit into 43 3 times, resulting in a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 123.0
The remainder is 10 after subtracting 33 from 43.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

Advancing to step 5:
If we divide 101 by 11, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 1239.0
If we subtract 99 from 101, 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.

On to step 6:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1239.1
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.

Step 7:
If we divide 90 by 11, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1239.18
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.

On to step 8:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1239.181
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:
11 goes into 90 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1239.1818
Subtract 88 from 90 to 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.

Going ahead to step 10:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 1239.18181
If we subtract 11 from 20, we 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 11:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 1239.181818
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 12:
11 goes into 20 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 1239.1818181
Subtracting 11 from 20 leaves us 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.

Going ahead to step 13:
If we divide 90 by 11, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 1239.18181818
Subtracting 88 from 90 leaves us 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.

The final outcome is 1239.18181818, with a leftover of 2e-09.