We look at the division of 262884 by 14 
Let's see how many times 14 fits into 262884.

Step 1:
When dividing 2 by 14, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 14

Step 2:
When dividing 26 by 14, we get 1 with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 14 away from 26, we end up with 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 14

Advancing to step 3:
If we divide 122 by 14, we get 8 and a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtracting 112 from 122 leaves us with 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 14

Let's proceed to step 4:
14 can be fit into 108 7 times, resulting in a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 187.0
Subtract 98 from 108 to get 10.
Fetch the next digit (8) from the dividend, attach it to 10 and continue: 108 / 14

Let's proceed to step 5:
14 can be fit into 108 7 times, resulting in a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 1877.0
The remainder is 10 after subtracting 98 from 108.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 14

Step 6:
The number 14 fits into 104 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 18777.0
If we take 98 away from 104, 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.

Moving on to step 7:
If we divide 60 by 14, we get 4 and a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 18777.4
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 8:
When dividing 40 by 14, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 18777.42
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:
When dividing 120 by 14, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 18777.428
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.

Going ahead to step 10:
When dividing 80 by 14, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 18777.4285
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.

Advancing to step 11:
When dividing 100 by 14, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 18777.42857
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.

Step 12:
If we divide 20 by 14, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 18777.428571
Subtracting 14 from 20 leaves us 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 13:
When dividing 60 by 14, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 18777.4285714
If we take 56 away from 60, we end up 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 14:
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: 18777.42857142
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.

Our division results in 18777.42857142 with a remaining 1.2e-08.