15309 divided by 11 
We want to figure out the number of times 15309 can be divided by 11.

Moving on to step 1:
When dividing 1 by 11, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 11

Moving on to step 2:
If we divide 15 by 11, we get 1 and a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 11 from 15, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 11

Going ahead to step 3:
11 can be fit into 43 3 times, resulting in a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 13.0
The remainder is 10 after subtracting 33 from 43.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 11

On to step 4:
100 divided by 11 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 139.0
Deduct 99 from 100 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 11

Going ahead to step 5:
11 goes into 19 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1391.0
Subtracting 11 from 19 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.

Step 6:
11 goes into 80 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 1391.7
Subtract 77 from 80 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.

On to step 7:
11 goes into 30 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1391.72
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 8:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 1391.727
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.

Going ahead to step 9:
When dividing 30 by 11, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 1391.7272
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.

On to step 10:
80 divided by 11 is 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 1391.72727
Subtract 77 from 80 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.

Going ahead to step 11:
11 can be fit into 30 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 1391.727272
If we take 22 away from 30, we end up 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.

Step 12:
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: 1391.7272727
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.

Step 13:
11 goes into 30 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1391.72727272
If we take 22 away from 30, we end up 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.

In conclusion, the division gives 1391.72727272 with a balance of 8e-09.