We look at the division of 589420 by 34 
We want to divide 589420 by 34.

Advancing to step 1:
5 divided by 34 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 34

Moving on to step 2:
When dividing 58 by 34, we get 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 34 from 58 and we're left with 24.
Fetch the next digit (9) from the dividend, attach it to 24 and continue: 249 / 34

Going ahead to step 3:
The number 34 fits into 249 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 238 from 249 and we're left with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 34

Going ahead to step 4:
When dividing 114 by 34, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 173.0
Subtracting 102 from 114 leaves us with 12.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 34

Moving on to step 5:
122 divided by 34 is 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 1733.0
If we take 102 away from 122, we end up with 20.
Append the next digit (0) from the dividend to 20 and continue with: 200 / 34

Moving on to step 6:
34 can be fit into 200 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 17335.0
Subtracting 170 from 200 leaves us with 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 7:
300 divided by 34 is 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 17335.8
Subtracting 272 from 300 leaves us 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.

Advancing to step 8:
34 goes into 280 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 17335.88
Subtract 272 from 280 to 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.

In conclusion, the division gives 17335.88 with a balance of 0.008.