Let's divide 553625 by 34
We want to divide 553625 by 34.

Advancing to step 1:
If we divide 5 by 34, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 34

Step 2:
The number 34 fits into 55 1 times, leaving a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
If we take 34 away from 55, we end up with 21.
Grab the next digit (3) from the dividend, add it to 21, then carry on: 213 / 34

Moving on to step 3:
The number 34 fits into 213 6 times, leaving a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 16.0
If we subtract 204 from 213, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 34

Step 4:
The number 34 fits into 96 2 times, leaving a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 162.0
Deduct 68 from 96 and we're left with 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 34

Step 5:
The number 34 fits into 282 8 times, leaving a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 1628.0
Deduct 272 from 282 and we're left with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 34

Step 6:
When dividing 105 by 34, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 16283.0
Deduct 102 from 105 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
The number 34 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 16283.0
Subtract 0 from 30 to 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.

Let's proceed to step 8:
If we divide 300 by 34, we get 8 and a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 16283.08
The remainder is 28 after subtracting 272 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 34, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 16283.088
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.

After the division, we end up with 16283.088 and a remainder of 0.0008.