We divide 254577 by 34
We're looking to find how many times 34 goes into 254577.

Moving on to step 1:
If we divide 2 by 34, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 34

On to step 2:
The number 34 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 34

Advancing to step 3:
34 goes into 254 7 times with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 238 from 254 leaves us with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 34

Moving on to step 4:
If we divide 165 by 34, we get 4 and a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
The remainder is 29 after subtracting 136 from 165.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 34

Let's proceed to step 5:
297 divided by 34 is 8 with a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 748.0
If we subtract 272 from 297, we get 25.
Include the next digit (7) from the dividend after 25, then repeat: 257 / 34

Advancing to step 6:
34 can be fit into 257 7 times, resulting in a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 7487.0
The remainder is 19 after subtracting 238 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
190 divided by 34 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 7487.5
Deduct 170 from 190 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 7487.55
If we take 170 away from 200, 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.

After the division, we end up with 7487.55 and a remainder of 0.03.