We're dividing 508892 by 34 
We want to divide 508892 by 34.

Moving on to step 1:
The number 34 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 34

Advancing to step 2:
50 divided by 34 is 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 16 after subtracting 34 from 50.
Bring next digit (8) of the dividend behind the 16 and repeat the process: 168 / 34

Let's proceed to step 3:
34 can be fit into 168 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 136 away from 168, we end up with 32.
Grab the next digit (8) from the dividend, add it to 32, then carry on: 328 / 34

Step 4:
When dividing 328 by 34, we get 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
The remainder is 22 after subtracting 306 from 328.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 34

On to step 5:
When dividing 229 by 34, we get 6 with a remainder of 25.
Record the quotient 6 as the next digit in the result. 
Result so far: 1496.0
If we subtract 204 from 229, we get 25.
Append the next digit (2) from the dividend to 25 and continue with: 252 / 34

On to step 6:
34 can be fit into 252 7 times, resulting in a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 14967.0
Deduct 238 from 252 and we're left 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.

Step 7:
34 goes into 140 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 14967.4
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
34 can be fit into 40 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 14967.41
Subtracting 34 from 40 leaves us 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 9:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 14967.411
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 14967.411 with a balance of 0.0026.