We're dividing 509702 by 75 
Let's see how many times 75 fits into 509702.

Going ahead to step 1:
75 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 75

On to step 2:
75 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 50 to get 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 75

Going ahead to step 3:
509 divided by 75 is 6 with a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 450 from 509 to get 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 75

Let's proceed to step 4:
597 divided by 75 is 7 with a remainder of 72.
Use 7 as the next digit of our solution. 
Result so far: 67.0
Subtract 525 from 597 to get 72.
Append the next digit (0) from the dividend to 72 and continue with: 720 / 75

On to step 5:
75 goes into 720 9 times with a remainder of 45.
The next digit of our result is 9. 
Result so far: 679.0
If we subtract 675 from 720, we get 45.
Fetch the next digit (2) from the dividend, attach it to 45 and continue: 452 / 75

Going ahead to step 6:
452 divided by 75 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 6796.0
Subtract 450 from 452 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
75 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 6796.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
75 goes into 200 2 times with a remainder of 50.
Record the quotient 2 as the next digit in the result. 
Result so far: 6796.02
Subtracting 150 from 200 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 6796.026
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6796.0266
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 6796.0266 with a remaining 0.0005.