We're dividing 509206 by 14 
We want to figure out the number of times 509206 can be divided by 14.

Step 1:
If we divide 5 by 14, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 14

Going ahead to step 2:
When dividing 50 by 14, we get 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 42 from 50, we get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 14

Moving on to step 3:
14 can be fit into 89 6 times, resulting in a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
The remainder is 5 after subtracting 84 from 89.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 14

Let's proceed to step 4:
The number 14 fits into 52 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 363.0
Subtract 42 from 52 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 14

Step 5:
If we divide 100 by 14, we get 7 and a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 3637.0
Subtracting 98 from 100 leaves us with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 14

Let's proceed to step 6:
26 divided by 14 is 1 with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 36371.0
If we take 14 away from 26, 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:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 36371.8
Subtract 112 from 120 to get 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 8:
14 goes into 80 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 36371.85
If we subtract 70 from 80, 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.

Going ahead to step 9:
14 goes into 100 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 36371.857
Deduct 98 from 100 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 14 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 36371.8571
Subtracting 14 from 20 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
If we divide 60 by 14, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 36371.85714
Deduct 56 from 60 and we're left 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 12:
40 divided by 14 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 36371.857142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 36371.8571428
Subtract 112 from 120 to get 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 14:
If we divide 80 by 14, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 36371.85714285
Subtract 70 from 80 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 36371.85714285 with a balance of 1e-08.