We look at the division of 557258 by 17 
We want to divide 557258 by 17.

Moving on to step 1:
5 divided by 17 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 17

Going ahead to step 2:
The number 17 fits into 55 3 times, leaving a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 51 from 55 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 17

Going ahead to step 3:
17 goes into 47 2 times with a remainder of 13.
The next digit of our result is 2. 
Result so far: 32.0
Subtracting 34 from 47 leaves us with 13.
Bring next digit (2) of the dividend behind the 13 and repeat the process: 132 / 17

Going ahead to step 4:
When dividing 132 by 17, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 327.0
Deduct 119 from 132 and we're left with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 17

Step 5:
When dividing 135 by 17, we get 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 3277.0
If we subtract 119 from 135, we get 16.
Include the next digit (8) from the dividend after 16, then repeat: 168 / 17

Step 6:
168 divided by 17 is 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 32779.0
Deduct 153 from 168 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
When dividing 150 by 17, we get 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 32779.8
Deduct 136 from 150 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
17 goes into 140 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 32779.88
If we subtract 136 from 140, we 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.

Our division results in 32779.88 with a remaining 0.004.