Let's divide 302586 by 34
Our goal is to divide 302586 by 34.

Advancing to step 1:
3 divided by 34 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 34

Moving on to step 2:
The number 34 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 34

Advancing to step 3:
34 goes into 302 8 times with a remainder of 30.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 272 from 302 to get 30.
Fetch the next digit (5) from the dividend, attach it to 30 and continue: 305 / 34

Going ahead to step 4:
If we divide 305 by 34, we get 8 and a remainder of 33.
The next digit of our result is 8. 
Result so far: 88.0
If we take 272 away from 305, we end up with 33.
Grab the next digit (8) from the dividend, add it to 33, then carry on: 338 / 34

Going ahead to step 5:
The number 34 fits into 338 9 times, leaving a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 889.0
Deduct 306 from 338 and we're left with 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 34

Advancing to step 6:
34 goes into 326 9 times with a remainder of 20.
Use 9 as the next digit of our solution. 
Result so far: 8899.0
If we take 306 away from 326, we end up 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 7:
34 goes into 200 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 8899.5
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.

On to step 8:
300 divided by 34 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 8899.58
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.

Advancing to step 9:
If we divide 280 by 34, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8899.588
Deduct 272 from 280 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 8899.588 with a balance of 0.0008.