We divide 513862 by 14
We want to figure out the number of times 513862 can be divided by 14.

Advancing to step 1:
When dividing 5 by 14, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 14

Moving 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
Subtracting 42 from 51 leaves us with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 14

Let's proceed to step 3:
When dividing 93 by 14, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Subtract 84 from 93 to get 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 14

Moving on to step 4:
If we divide 98 by 14, we get 7 and a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 367.0
If we take 98 away from 98, we end up with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 14

Advancing to step 5:
The number 14 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 3670.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 14

Step 6:
62 divided by 14 is 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 36704.0
If we take 56 away from 62, we end up 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.

Let's proceed to step 7:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 36704.4
Subtracting 56 from 60 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.

Going ahead to step 8:
If we divide 40 by 14, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 36704.42
If we subtract 28 from 40, we 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.

Let's proceed to step 9:
14 goes into 120 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 36704.428
Subtracting 112 from 120 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 10:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 36704.4285
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.

Advancing to step 11:
14 goes into 100 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 36704.42857
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.

Let's proceed to step 12:
When dividing 20 by 14, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 36704.428571
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.

Going ahead to step 13:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 36704.4285714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 36704.42857142
Subtracting 28 from 40 leaves us 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.

After the division, we end up with 36704.42857142 and a remainder of 1.2e-08.