We look at the division of 558839 by 257 
We want to divide 558839 by 257.

Advancing to step 1:
257 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 257

Moving on to step 2:
When dividing 55 by 257, we get 0 with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Include the next digit (8) from the dividend after 55, then repeat: 558 / 257

Step 3:
If we divide 558 by 257, we get 2 and a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 514 from 558, we get 44.
Bring next digit (8) of the dividend behind the 44 and repeat the process: 448 / 257

Moving on to step 4:
257 goes into 448 1 times with a remainder of 191.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we take 257 away from 448, we end up with 191.
Append the next digit (3) from the dividend to 191 and continue with: 1913 / 257

Going ahead to step 5:
When dividing 1913 by 257, we get 7 with a remainder of 114.
Put 7 as the next digit of the answer. 
Result so far: 217.0
Subtract 1799 from 1913 to get 114.
Fetch the next digit (9) from the dividend, attach it to 114 and continue: 1149 / 257

Let's proceed to step 6:
The number 257 fits into 1149 4 times, leaving a remainder of 121.
Use 4 as the next digit of our solution. 
Result so far: 2174.0
The remainder is 121 after subtracting 1028 from 1149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Moving on to step 7:
257 can be fit into 1210 4 times, resulting in a remainder of 182.
Write down 4 as next digit of the result. 
Result so far: 2174.4
Deduct 1028 from 1210 and we're left with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Advancing to step 8:
If we divide 1820 by 257, we get 7 and a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 2174.47
If we subtract 1799 from 1820, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 9:
When dividing 210 by 257, we get 0 with a remainder of 210.
The next digit of our result is 0. 
Result so far: 2174.47
Deduct 0 from 210 and we're left with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Step 10:
2100 divided by 257 is 8 with a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 2174.4708
Deduct 2056 from 2100 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 11:
When dividing 440 by 257, we get 1 with a remainder of 183.
Use 1 as the next digit of our solution. 
Result so far: 2174.47081
The remainder is 183 after subtracting 257 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1830, and continue the process.

Going ahead to step 12:
When dividing 1830 by 257, we get 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 2174.470817
The remainder is 31 after subtracting 1799 from 1830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 13:
310 divided by 257 is 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 2174.4708171
Deduct 257 from 310 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 14:
When dividing 530 by 257, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 2174.47081712
If we take 514 away from 530, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 2174.47081712 with a balance of 1.6e-08.