We're dividing 512082 by 14 
Our goal is to divide 512082 by 14.

Step 1:
14 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 14

Step 2:
The number 14 fits into 51 3 times, leaving a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 9 after subtracting 42 from 51.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 14

On to step 3:
When dividing 92 by 14, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 36.0
If we subtract 84 from 92, we get 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 14

Moving on to step 4:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 365.0
Subtracting 70 from 80 leaves us with 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 14

Moving on to step 5:
If we divide 108 by 14, we get 7 and a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 3657.0
Deduct 98 from 108 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 14

Advancing to step 6:
The number 14 fits into 102 7 times, leaving a remainder of 4.
The next digit of our result is 7. 
Result so far: 36577.0
Subtract 98 from 102 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.

Advancing to step 7:
When dividing 40 by 14, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 36577.2
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 8:
14 goes into 120 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 36577.28
If we take 112 away from 120, 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.

Moving on to step 9:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 36577.285
If we take 70 away from 80, we end up 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.

Let's proceed to step 10:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 36577.2857
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.

Let's proceed to step 11:
If we divide 20 by 14, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 36577.28571
Deduct 14 from 20 and we're left 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.

On to step 12:
If we divide 60 by 14, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 36577.285714
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.

Step 13:
40 divided by 14 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 36577.2857142
Deduct 28 from 40 and we're left 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.

Going ahead to step 14:
120 divided by 14 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 36577.28571428
If we take 112 away from 120, 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.

The quotient of the division is 36577.28571428, and the remainder is 8e-09.