Let's divide 178553 by 34
Our goal is to divide 178553 by 34.

Step 1:
If we divide 1 by 34, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 34

Moving on to step 2:
When dividing 17 by 34, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 34

Moving on to step 3:
When dividing 178 by 34, we get 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 170 from 178 to get 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 34

Step 4:
34 can be fit into 85 2 times, resulting in a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
If we take 68 away from 85, we end up with 17.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 34

Moving on to step 5:
34 can be fit into 175 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 525.0
If we take 170 away from 175, we end up with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 34

On to step 6:
53 divided by 34 is 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 5251.0
The remainder is 19 after subtracting 34 from 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
34 can be fit into 190 5 times, resulting in a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5251.5
Subtract 170 from 190 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 34, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 5251.55
If we subtract 170 from 200, 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.

The final outcome is 5251.55, with a leftover of 0.03.