We divide 270002 by 14
We're looking to find how many times 14 goes into 270002.

Going ahead to step 1:
2 divided by 14 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 14

Step 2:
If we divide 27 by 14, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 1.0
If we take 14 away from 27, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 14

Advancing to step 3:
14 goes into 130 9 times with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we take 126 away from 130, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 14

Moving on to step 4:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 192.0
If we subtract 28 from 40, we get 12.
Append the next digit (0) from the dividend to 12 and continue with: 120 / 14

Going ahead to step 5:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 1928.0
If we subtract 112 from 120, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 14

Going ahead to step 6:
82 divided by 14 is 5 with a remainder of 12.
The next digit of our result is 5. 
Result so far: 19285.0
Deduct 70 from 82 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.

Step 7:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 19285.8
The remainder is 8 after subtracting 112 from 120.
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 8:
80 divided by 14 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 19285.85
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 9:
When dividing 100 by 14, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 19285.857
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.

Moving on to step 10:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 19285.8571
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.

Let's proceed to step 11:
14 can be fit into 60 4 times, resulting in a remainder of 4.
The next digit of our result is 4. 
Result so far: 19285.85714
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 12:
The number 14 fits into 40 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 19285.857142
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.

Moving on to step 13:
When dividing 120 by 14, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 19285.8571428
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.

Going ahead to step 14:
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: 19285.85714285
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.

After the division, we end up with 19285.85714285 and a remainder of 1e-08.