Let's divide 113126 by 11
We want to divide 113126 by 11.

Moving on to step 1:
11 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 11

Advancing to step 2:
The number 11 fits into 11 1 times, leaving 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

Let's proceed to step 3:
11 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 11

On to step 4:
The number 11 fits into 31 2 times, leaving a remainder of 9.
The next digit of our result is 2. 
Result so far: 102.0
Subtract 22 from 31 to get 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 11

Going ahead to step 5:
11 goes into 92 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1028.0
The remainder is 4 after subtracting 88 from 92.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 11

Step 6:
If we divide 46 by 11, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 10284.0
Subtract 44 from 46 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 7:
If we divide 20 by 11, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 10284.1
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.

Advancing to step 8:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 10284.18
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.

Moving on to step 9:
11 goes into 20 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10284.181
Deduct 11 from 20 and we're left 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.

Moving on to step 10:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 10284.1818
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.

Let's proceed to step 11:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 10284.18181
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.

Moving on to step 12:
When dividing 90 by 11, we get 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10284.181818
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.

Going ahead to step 13:
11 goes into 20 1 times with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10284.1818181
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.

On to step 14:
11 goes into 90 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 10284.18181818
If we take 88 away from 90, we end up 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.

In conclusion, the division gives 10284.18181818 with a balance of 2e-09.