We look at the division of 75639 by 11 
We're looking to find how many times 11 goes into 75639.

On to step 1:
The number 11 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 11

Going ahead to step 2:
75 divided by 11 is 6 with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 66 from 75 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 11

Going ahead to step 3:
When dividing 96 by 11, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
The remainder is 8 after subtracting 88 from 96.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 11

Going ahead to step 4:
11 goes into 83 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 687.0
Subtract 77 from 83 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 11

Advancing to step 5:
If we divide 69 by 11, we get 6 and a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 6876.0
Deduct 66 from 69 and we're left 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.

Let's proceed to step 6:
If we divide 30 by 11, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6876.2
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
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: 6876.27
Subtract 77 from 80 to 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.

Step 8:
When dividing 30 by 11, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 6876.272
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.

Going ahead to step 9:
11 goes into 80 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 6876.2727
Subtract 77 from 80 to 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.

On to step 10:
11 can be fit into 30 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 6876.27272
Deduct 22 from 30 and we're left 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.

Advancing to step 11:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6876.272727
If we subtract 77 from 80, 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.

Step 12:
When dividing 30 by 11, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6876.2727272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
11 goes into 80 7 times with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 6876.27272727
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.

In conclusion, the division gives 6876.27272727 with a balance of 3e-09.