We look at the division of 309711 by 13 
We want to figure out the number of times 309711 can be divided by 13.

Let's proceed to step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 13

On to step 2:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 26 from 30, we get 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Advancing to step 3:
13 goes into 49 3 times with a remainder of 10.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 39 from 49, we get 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 13

Advancing to step 4:
107 divided by 13 is 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 238.0
If we subtract 104 from 107, we get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 13

On to step 5:
13 can be fit into 31 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2382.0
Deduct 26 from 31 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 13

Step 6:
13 goes into 51 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 23823.0
If we take 39 away from 51, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 23823.9
Deduct 117 from 120 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.

Going ahead to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 23823.92
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
13 goes into 40 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 23823.923
Subtracting 39 from 40 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.

On to step 10:
13 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 23823.923
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.

Step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 23823.92307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 23823.923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 23823.9230769
Subtract 117 from 120 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.

Moving on to step 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 23823.92307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 23823.92307692, with a leftover of 4e-09.