We look at the division of 507062 by 34 
We're looking to find how many times 34 goes into 507062.

Step 1:
When dividing 5 by 34, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 34

Going ahead to step 2:
The number 34 fits into 50 1 times, leaving a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 34 away from 50, we end up with 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 34

Going ahead to step 3:
34 can be fit into 167 4 times, resulting in a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 31 after subtracting 136 from 167.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 34

On to step 4:
34 can be fit into 310 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 149.0
Subtracting 306 from 310 leaves us with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 34

On to step 5:
If we divide 46 by 34, we get 1 and a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1491.0
The remainder is 12 after subtracting 34 from 46.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 34

Advancing to step 6:
When dividing 122 by 34, we get 3 with a remainder of 20.
The next digit of our result is 3. 
Result so far: 14913.0
Deduct 102 from 122 and we're left 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.

Going ahead to step 7:
The number 34 fits into 200 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 14913.5
The remainder is 30 after subtracting 170 from 200.
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:
34 can be fit into 300 8 times, resulting in a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 14913.58
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
280 divided by 34 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 14913.588
Subtracting 272 from 280 leaves us 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.

The quotient of the division is 14913.588, and the remainder is 0.0008.