507006 ÷ 34 
We're looking to find how many times 34 goes into 507006.

Going ahead to step 1:
34 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 34

On to step 2:
When dividing 50 by 34, we get 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 34 from 50 and we're left with 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 34

On to step 3:
34 goes into 167 4 times with a remainder of 31.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 136 away from 167, we end up with 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 34

Step 4:
310 divided by 34 is 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 149.0
Subtracting 306 from 310 leaves us with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 34

On to step 5:
34 can be fit into 40 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 1491.0
If we take 34 away from 40, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 34

Step 6:
34 goes into 66 1 times with a remainder of 32.
The next digit of our result is 1. 
Result so far: 14911.0
The remainder is 32 after subtracting 34 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
If we divide 320 by 34, we get 9 and a remainder of 14.
The next digit of our result is 9. 
Result so far: 14911.9
Subtract 306 from 320 to get 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:
140 divided by 34 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 14911.94
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 9:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 14911.941
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.

Let's proceed to step 10:
34 goes into 60 1 times with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 14911.9411
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 14911.9411 with a balance of 0.00026.