558854 ÷ 34 
Our goal is to divide 558854 by 34.

Step 1:
If we divide 5 by 34, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 34

Going ahead to step 2:
55 divided by 34 is 1 with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 34 away from 55, we end up with 21.
Take the next digit (8) from the dividend and append it to 21, then repeat: 218 / 34

Moving on to step 3:
218 divided by 34 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 204 away from 218, we end up with 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 34

On to step 4:
When dividing 148 by 34, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 164.0
Deduct 136 from 148 and we're left with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 34

On to step 5:
125 divided by 34 is 3 with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 1643.0
Subtract 102 from 125 to get 23.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 34

Let's proceed to step 6:
If we divide 234 by 34, we get 6 and a remainder of 30.
The next digit of our result is 6. 
Result so far: 16436.0
If we take 204 away from 234, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
34 goes into 300 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 16436.8
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
When dividing 280 by 34, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 16436.88
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 16436.88 with a remaining 0.008.