Let's divide 513731 by 14
We're looking to find how many times 14 goes into 513731.

Advancing to step 1:
The number 14 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 14

On to step 2:
51 divided by 14 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 42 away from 51, we end up with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 14

Going ahead to step 3:
The number 14 fits into 93 6 times, leaving a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we take 84 away from 93, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 14

Going ahead to step 4:
When dividing 97 by 14, we get 6 with a remainder of 13.
The next digit of our result is 6. 
Result so far: 366.0
Subtract 84 from 97 to get 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 14

Going ahead to step 5:
133 divided by 14 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 3669.0
Deduct 126 from 133 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 14

Going ahead to step 6:
14 goes into 71 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 36695.0
If we subtract 70 from 71, we 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 7:
14 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 36695.0
Deduct 0 from 10 and we're left 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 8:
If we divide 100 by 14, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 36695.07
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.

Step 9:
20 divided by 14 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 36695.071
Subtract 14 from 20 to 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.

Advancing to step 10:
When dividing 60 by 14, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 36695.0714
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.

Going ahead to step 11:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 36695.07142
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.

Going ahead to step 12:
14 goes into 120 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 36695.071428
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.

Advancing to step 13:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 36695.0714285
Subtracting 70 from 80 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.

Moving on to step 14:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 36695.07142857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 36695.07142857, with a leftover of 2e-09.