We're dividing 510934 by 75 
Our goal is to divide 510934 by 75.

Advancing to step 1:
The number 75 fits into 5 0 times, leaving 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.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 75

Step 2:
When dividing 51 by 75, we get 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 75

Going ahead to step 3:
75 goes into 510 6 times with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 450 away from 510, we end up with 60.
Append the next digit (9) from the dividend to 60 and continue with: 609 / 75

Going ahead to step 4:
609 divided by 75 is 8 with a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
The remainder is 9 after subtracting 600 from 609.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 75

Let's proceed to step 5:
75 goes into 93 1 times with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 681.0
If we take 75 away from 93, we end up with 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 75

Advancing to step 6:
75 can be fit into 184 2 times, resulting in a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 6812.0
Deduct 150 from 184 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
75 goes into 340 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 6812.4
Subtract 300 from 340 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
When dividing 400 by 75, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6812.45
The remainder is 25 after subtracting 375 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 6812.453
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 6812.4533
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 6812.4533 and a remainder of 0.00025.