We look at the division of 17975 by 34 
We want to divide 17975 by 34.

Advancing to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 34

Step 2:
34 can be fit into 17 0 times, resulting in 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.
Include the next digit (9) from the dividend after 17, then repeat: 179 / 34

On to step 3:
34 can be fit into 179 5 times, resulting in a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 170 from 179 leaves us with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 34

Going ahead to step 4:
If we divide 97 by 34, we get 2 and a remainder of 29.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Deduct 68 from 97 and we're left with 29.
Append the next digit (5) from the dividend to 29 and continue with: 295 / 34

On to step 5:
When dividing 295 by 34, we get 8 with a remainder of 23.
Put 8 as the next digit of the answer. 
Result so far: 528.0
The remainder is 23 after subtracting 272 from 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 6:
When dividing 230 by 34, we get 6 with a remainder of 26.
The next digit of our result is 6. 
Result so far: 528.6
Deduct 204 from 230 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 7:
If we divide 260 by 34, we get 7 and a remainder of 22.
Record the quotient 7 as the next digit in the result. 
Result so far: 528.67
Subtracting 238 from 260 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
34 can be fit into 220 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 528.676
Deduct 204 from 220 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
34 goes into 160 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 528.6764
Subtracting 136 from 160 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.

Advancing to step 10:
When dividing 240 by 34, we get 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 528.67647
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.

Advancing to step 11:
When dividing 20 by 34, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 528.67647
Subtract 0 from 20 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.

Going ahead to step 12:
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: 528.6764705
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.

Step 13:
The number 34 fits into 300 8 times, leaving a remainder of 28.
The next digit of our result is 8. 
Result so far: 528.67647058
If we take 272 away from 300, we end up 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.

In conclusion, the division gives 528.67647058 with a balance of 2.8e-08.