509657 divided by 14 
We're looking to find how many times 14 goes into 509657.

Moving on to step 1:
5 divided by 14 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 14

Moving on to step 2:
The number 14 fits into 50 3 times, leaving a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 8 after subtracting 42 from 50.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 14

Let's proceed to step 3:
89 divided by 14 is 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 36.0
If we take 84 away from 89, we end up with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 14

On to step 4:
When dividing 56 by 14, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 364.0
Deduct 56 from 56 and we're left with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 14

Let's proceed to step 5:
The number 14 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 3640.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 14

Going ahead to step 6:
The number 14 fits into 57 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 36404.0
The remainder is 1 after subtracting 56 from 57.
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 7:
When dividing 10 by 14, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 36404.0
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.

Going ahead to step 8:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 36404.07
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
The number 14 fits into 20 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 36404.071
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 10:
When dividing 60 by 14, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 36404.0714
Subtract 56 from 60 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.

Going ahead to step 11:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 36404.07142
Subtract 28 from 40 to get 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 12:
120 divided by 14 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 36404.071428
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 13:
If we divide 80 by 14, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 36404.0714285
The remainder is 10 after subtracting 70 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
14 goes into 100 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 36404.07142857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 36404.07142857 with a balance of 2e-09.