114596 ÷ 11 
Our goal is to divide 114596 by 11.

Step 1:
11 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 11

Moving on to step 2:
When dividing 11 by 11, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 11 from 11, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 11

Moving on to step 3:
11 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 11

On to step 4:
45 divided by 11 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 104.0
If we take 44 away from 45, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 11

On to step 5:
11 can be fit into 19 1 times, resulting in a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1041.0
Subtracting 11 from 19 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 11

On to step 6:
86 divided by 11 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 10417.0
Deduct 77 from 86 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.

On to step 7:
11 can be fit into 90 8 times, resulting in a remainder of 2.
The next digit of our result is 8. 
Result so far: 10417.8
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.

Advancing to step 8:
When dividing 20 by 11, we get 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 10417.81
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.

Going ahead to step 9:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10417.818
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.

Advancing to step 10:
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: 10417.8181
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:
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: 10417.81818
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.

Step 12:
20 divided by 11 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 10417.818181
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.

Step 13:
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: 10417.8181818
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.

Moving on to step 14:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 10417.81818181
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.

The final outcome is 10417.81818181, with a leftover of 9e-09.