Let's divide 257583 by 34
Our goal is to divide 257583 by 34.

Advancing to step 1:
2 divided by 34 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 34

Going ahead to step 2:
34 goes into 25 0 times with a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 25 after subtracting 0 from 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 34

Step 3:
34 can be fit into 257 7 times, resulting in a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 238 from 257 and we're left with 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 34

Advancing to step 4:
When dividing 195 by 34, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 75.0
Subtract 170 from 195 to get 25.
Bring next digit (8) of the dividend behind the 25 and repeat the process: 258 / 34

Step 5:
If we divide 258 by 34, we get 7 and a remainder of 20.
Write down 7 as next digit of the result. 
Result so far: 757.0
If we take 238 away from 258, we end up with 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 34

Step 6:
When dividing 203 by 34, we get 5 with a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 7575.0
The remainder is 33 after subtracting 170 from 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
330 divided by 34 is 9 with a remainder of 24.
Record the quotient 9 as the next digit in the result. 
Result so far: 7575.9
Subtracting 306 from 330 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
34 goes into 240 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7575.97
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
The number 34 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 7575.97
Deduct 0 from 20 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.

On to step 10:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 7575.9705
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.

Let's proceed to step 11:
When dividing 300 by 34, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 7575.97058
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 12:
34 goes into 280 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 7575.970588
If we subtract 272 from 280, we get 8.
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 7575.970588 with a remaining 8e-07.