309144 divided by 13 
We want to figure out the number of times 309144 can be divided by 13.

Moving on to step 1:
The number 13 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 13

Going ahead to step 2:
30 divided by 13 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtract 26 from 30 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 13

Step 3:
The number 13 fits into 49 3 times, leaving a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtract 39 from 49 to get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 13

On to step 4:
If we divide 101 by 13, we get 7 and a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 237.0
Subtract 91 from 101 to get 10.
Grab the next digit (4) from the dividend, add it to 10, then carry on: 104 / 13

Moving on to step 5:
The number 13 fits into 104 8 times, leaving a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 2378.0
Subtract 104 from 104 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 13

On to step 6:
If we divide 4 by 13, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 23780.0
Subtract 0 from 4 to get 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 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 23780.3
The remainder is 1 after subtracting 39 from 40.
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 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 23780.3
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.

On to step 9:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 23780.307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 23780.3076
Deduct 78 from 90 and we're left 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.

Going ahead to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 23780.30769
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.

Advancing to step 12:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 23780.307692
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.

On to step 13:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 23780.3076923
Subtract 39 from 40 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.

On to step 14:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 23780.3076923
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.

In conclusion, the division gives 23780.3076923 with a balance of 1e-08.