We look at the division of 259963 by 14 
We want to divide 259963 by 14.

Going ahead to step 1:
2 divided by 14 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 14

On to step 2:
14 can be fit into 25 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 14 from 25 leaves us with 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 119 / 14

Going ahead to step 3:
14 can be fit into 119 8 times, resulting in a remainder of 7.
The next digit of our result is 8. 
Result so far: 18.0
If we subtract 112 from 119, we get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 14

Advancing to step 4:
14 goes into 79 5 times with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 185.0
The remainder is 9 after subtracting 70 from 79.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 14

Going ahead to step 5:
When dividing 96 by 14, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 1856.0
If we subtract 84 from 96, we get 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 14

Let's proceed to step 6:
123 divided by 14 is 8 with a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 18568.0
If we subtract 112 from 123, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
14 goes into 110 7 times with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 18568.7
The remainder is 12 after subtracting 98 from 110.
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 8:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 18568.78
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.

Moving on to step 9:
If we divide 80 by 14, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 18568.785
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.

Step 10:
14 goes into 100 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 18568.7857
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:
20 divided by 14 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 18568.78571
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.

Moving on to step 12:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 18568.785714
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.

Advancing to step 13:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 18568.7857142
If we take 28 away from 40, we end up 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:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 18568.78571428
Deduct 112 from 120 and we're left 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.

After the division, we end up with 18568.78571428 and a remainder of 8e-09.