Let's divide 636109 by 11
Let's see how many times 11 fits into 636109.

On to step 1:
The number 11 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 11

Moving on to step 2:
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: 5.0
Subtracting 55 from 63 leaves us with 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 11

Going ahead to step 3:
If we divide 86 by 11, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 57.0
If we take 77 away from 86, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 11

Moving on to step 4:
11 can be fit into 91 8 times, resulting in a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 578.0
Subtracting 88 from 91 leaves us with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 11

On to step 5:
If we divide 30 by 11, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 5782.0
Subtract 22 from 30 to get 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 11

On to step 6:
If we divide 89 by 11, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 57828.0
Deduct 88 from 89 and we're left 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.

On to step 7:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 57828.0
Subtract 0 from 10 to 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.

On to step 8:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 57828.09
Deduct 99 from 100 and we're left 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.

Going ahead to step 9:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 57828.09
Subtract 0 from 10 to 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.

Advancing to step 10:
If we divide 100 by 11, we get 9 and a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 57828.0909
Subtracting 99 from 100 leaves us 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 11:
10 divided by 11 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 57828.0909
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.

Moving on to step 12:
The number 11 fits into 100 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 57828.090909
Deduct 99 from 100 and we're left 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.

Advancing to step 13:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 57828.090909
If we take 0 away from 10, we end up 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.

Let's proceed to step 14:
If we divide 100 by 11, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 57828.09090909
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 57828.09090909 with a balance of 1e-09.