We look at the division of 500206 by 75 
We're looking to find how many times 75 goes into 500206.

On to step 1:
75 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 75

Advancing to step 2:
If we divide 50 by 75, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Grab the next digit (0) from the dividend, add it to 50, then carry on: 500 / 75

Going ahead to step 3:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 450 from 500 leaves us with 50.
Bring next digit (2) of the dividend behind the 50 and repeat the process: 502 / 75

Let's proceed to step 4:
The number 75 fits into 502 6 times, leaving a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtracting 450 from 502 leaves us with 52.
Fetch the next digit (0) from the dividend, attach it to 52 and continue: 520 / 75

Going ahead to step 5:
The number 75 fits into 520 6 times, leaving a remainder of 70.
Record the quotient 6 as the next digit in the result. 
Result so far: 666.0
Subtracting 450 from 520 leaves us with 70.
Append the next digit (6) from the dividend to 70 and continue with: 706 / 75

Moving on to step 6:
If we divide 706 by 75, we get 9 and a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 6669.0
Subtracting 675 from 706 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 75 fits into 310 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 6669.4
If we subtract 300 from 310, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 75 fits into 100 1 times, leaving a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 6669.41
Deduct 75 from 100 and we're left 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.

Let's proceed to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 6669.413
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.

Step 10:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 6669.4133
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final result is 6669.4133 with a remainder of 0.00025.