We're dividing 587320 by 34 
We want to divide 587320 by 34.

Advancing to step 1:
5 divided by 34 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 34

Let's proceed to step 2:
34 goes into 58 1 times with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 34 from 58 leaves us with 24.
Include the next digit (7) from the dividend after 24, then repeat: 247 / 34

On to step 3:
When dividing 247 by 34, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 238 from 247, we get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 34

Step 4:
34 goes into 93 2 times with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
If we take 68 away from 93, we end up with 25.
Fetch the next digit (2) from the dividend, attach it to 25 and continue: 252 / 34

Advancing to step 5:
252 divided by 34 is 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 1727.0
Deduct 238 from 252 and we're left with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 34

Step 6:
34 goes into 140 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 17274.0
Subtract 136 from 140 to 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.

Going ahead to step 7:
34 goes into 40 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 17274.1
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
If we divide 60 by 34, we get 1 and a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 17274.11
Subtracting 34 from 60 leaves us 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.

In conclusion, the division gives 17274.11 with a balance of 0.026.