We look at the division of 115624 by 11 
We want to figure out the number of times 115624 can be divided by 11.

Moving on to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 11

Going ahead to step 2:
11 divided by 11 is 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 11 away from 11, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 11

Step 3:
5 divided by 11 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 11

Step 4:
11 goes into 56 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
If we take 55 away from 56, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 11

On to step 5:
11 goes into 12 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1051.0
Deduct 11 from 12 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 11

Moving on to step 6:
14 divided by 11 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 10511.0
If we subtract 11 from 14, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 10511.2
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 10511.27
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 9:
11 goes into 30 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 10511.272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 10511.2727
Subtracting 77 from 80 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
11 goes into 30 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 10511.27272
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
When dividing 80 by 11, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 10511.272727
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
11 goes into 30 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 10511.2727272
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
11 can be fit into 80 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 10511.27272727
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 10511.27272727 with a remaining 3e-09.