Let's divide 971599 by 34
Our goal is to divide 971599 by 34.

On to step 1:
When dividing 9 by 34, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 34

Going ahead to step 2:
97 divided by 34 is 2 with a remainder of 29.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 68 from 97, we get 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 34

Step 3:
If we divide 291 by 34, we get 8 and a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 28.0
Deduct 272 from 291 and we're left with 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 34

On to step 4:
34 goes into 195 5 times with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 285.0
Subtracting 170 from 195 leaves us with 25.
Fetch the next digit (9) from the dividend, attach it to 25 and continue: 259 / 34

Moving on to step 5:
259 divided by 34 is 7 with a remainder of 21.
The next digit of our result is 7. 
Result so far: 2857.0
Deduct 238 from 259 and we're left with 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 34

Advancing to step 6:
When dividing 219 by 34, we get 6 with a remainder of 15.
The next digit of our result is 6. 
Result so far: 28576.0
If we take 204 away from 219, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
34 can be fit into 150 4 times, resulting in a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 28576.4
Subtracting 136 from 150 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
If we divide 140 by 34, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 28576.44
If we subtract 136 from 140, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 28576.44, and the remainder is 0.004.