823639 ÷ 11 
We're looking to find how many times 11 goes into 823639.

On to step 1:
11 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 11

Advancing to step 2:
The number 11 fits into 82 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 5 after subtracting 77 from 82.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 11

Advancing to step 3:
When dividing 53 by 11, we get 4 with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
If we take 44 away from 53, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 11

Moving on to step 4:
The number 11 fits into 96 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 748.0
Subtract 88 from 96 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 11

Advancing to step 5:
83 divided by 11 is 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7487.0
If we take 77 away from 83, we end up with 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 11

Let's proceed to step 6:
If we divide 69 by 11, we get 6 and a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 74876.0
Subtracting 66 from 69 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 7:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 74876.2
Subtracting 22 from 30 leaves us 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 8:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 74876.27
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.

On to step 9:
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: 74876.272
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.

Let's proceed to step 10:
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: 74876.2727
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.

Step 11:
The number 11 fits into 30 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 74876.27272
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.

Moving on to step 12:
If we divide 80 by 11, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 74876.272727
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.

On to step 13:
11 goes into 30 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 74876.2727272
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.

On to step 14:
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: 74876.27272727
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.

In conclusion, the division gives 74876.27272727 with a balance of 3e-09.