116337 divided by 11 
We're looking to find how many times 11 goes into 116337.

Going ahead to step 1:
11 can be fit into 1 0 times, resulting in 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.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 11

Moving on to step 2:
If we divide 11 by 11, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 0 after subtracting 11 from 11.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 11

Advancing to step 3:
If we divide 6 by 11, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 11

On to step 4:
11 can be fit into 63 5 times, resulting in a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 55 away from 63, we end up with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 11

Going ahead to step 5:
If we divide 83 by 11, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 1057.0
Subtracting 77 from 83 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 11

Step 6:
11 goes into 67 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 10576.0
Subtract 66 from 67 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
11 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10576.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
If we divide 100 by 11, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 10576.09
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
When dividing 10 by 11, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10576.09
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 10576.0909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
When dividing 10 by 11, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 10576.0909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
11 goes into 100 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 10576.090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
11 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10576.090909
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
100 divided by 11 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 10576.09090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 10576.09090909 with a balance of 1e-09.