We look at the division of 628554 by 34 
We're looking to find how many times 34 goes into 628554.

Let's proceed to step 1:
6 divided by 34 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 34

Moving on to step 2:
34 can be fit into 62 1 times, resulting in a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 34 from 62 leaves us with 28.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 34

Going ahead to step 3:
If we divide 288 by 34, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtract 272 from 288 to get 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 34

Advancing to step 4:
If we divide 165 by 34, we get 4 and a remainder of 29.
Put 4 as the next digit of the answer. 
Result so far: 184.0
Deduct 136 from 165 and we're left with 29.
Fetch the next digit (5) from the dividend, attach it to 29 and continue: 295 / 34

Step 5:
The number 34 fits into 295 8 times, leaving a remainder of 23.
Record the quotient 8 as the next digit in the result. 
Result so far: 1848.0
Subtract 272 from 295 to get 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 34

Step 6:
234 divided by 34 is 6 with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 18486.0
If we subtract 204 from 234, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
34 goes into 300 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 18486.8
Deduct 272 from 300 and we're left 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.

Advancing to step 8:
34 can be fit into 280 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 18486.88
If we take 272 away from 280, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 18486.88, with a leftover of 0.008.