We look at the division of 257863 by 17 
Let's see how many times 17 fits into 257863.

Let's proceed to step 1:
17 goes into 2 0 times with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 17

Advancing to step 2:
17 goes into 25 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 17 from 25 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 17

On to step 3:
87 divided by 17 is 5 with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 85 from 87 and we're left with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 17

Moving on to step 4:
If we divide 28 by 17, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 151.0
Deduct 17 from 28 and we're left with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 17

Advancing to step 5:
If we divide 116 by 17, we get 6 and a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 1516.0
If we take 102 away from 116, we end up with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 17

Moving on to step 6:
If we divide 143 by 17, we get 8 and a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 15168.0
The remainder is 7 after subtracting 136 from 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
If we divide 70 by 17, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 15168.4
Subtracting 68 from 70 leaves us 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.

Moving on to step 8:
17 can be fit into 20 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 15168.41
If we subtract 17 from 20, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
17 goes into 30 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 15168.411
Subtracting 17 from 30 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 15168.411 with a balance of 0.0013.