We look at the division of 558549 by 34 
We're looking to find how many times 34 goes into 558549.

On to step 1:
34 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 34

Let's proceed to step 2:
If we divide 55 by 34, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 34 away from 55, we end up with 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 34

Step 3:
The number 34 fits into 218 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 204 from 218 leaves us with 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 34

Advancing to step 4:
The number 34 fits into 145 4 times, leaving a remainder of 9.
The next digit of our result is 4. 
Result so far: 164.0
The remainder is 9 after subtracting 136 from 145.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 34

Let's proceed to step 5:
When dividing 94 by 34, we get 2 with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 1642.0
Subtract 68 from 94 to get 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 34

On to step 6:
34 goes into 269 7 times with a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 16427.0
Subtract 238 from 269 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
34 can be fit into 310 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 16427.9
Deduct 306 from 310 and we're left 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.

Moving on to step 8:
If we divide 40 by 34, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 16427.91
If we take 34 away from 40, 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.

Advancing to step 9:
34 goes into 60 1 times with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 16427.911
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 16427.911, and the remainder is 0.0026.