309904 ÷ 11 
We want to figure out the number of times 309904 can be divided by 11.

Going ahead to step 1:
11 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 11

On to step 2:
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: 2.0
If we subtract 22 from 30, we get 8.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 11

Advancing to step 3:
The number 11 fits into 89 8 times, leaving a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 28.0
Subtracting 88 from 89 leaves us with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 11

Step 4:
11 goes into 19 1 times with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 281.0
Deduct 11 from 19 and we're left with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 11

On to step 5:
11 goes into 80 7 times with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 2817.0
Subtracting 77 from 80 leaves us with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 11

Going ahead to step 6:
If we divide 34 by 11, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 28173.0
Subtracting 33 from 34 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.

Step 7:
If we divide 10 by 11, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 28173.0
The remainder is 10 after subtracting 0 from 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 8:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 28173.09
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.

Going ahead to step 9:
When dividing 10 by 11, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 28173.09
Deduct 0 from 10 and we're left 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.

Moving on to step 10:
When dividing 100 by 11, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 28173.0909
If we subtract 99 from 100, we 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.

On to step 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 28173.0909
The remainder is 10 after subtracting 0 from 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 12:
11 goes into 100 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 28173.090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 13:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 28173.090909
Subtracting 0 from 10 leaves us 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.

On to step 14:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 28173.09090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 28173.09090909 and a remainder of 1e-09.