We look at the division of 501982 by 75 
We want to figure out the number of times 501982 can be divided by 75.

Going ahead to step 1:
75 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
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:
50 divided by 75 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 75

Step 3:
When dividing 501 by 75, we get 6 with a remainder of 51.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 450 from 501 and we're left with 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 75

On to step 4:
75 goes into 519 6 times with a remainder of 69.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
Subtract 450 from 519 to get 69.
Bring next digit (8) of the dividend behind the 69 and repeat the process: 698 / 75

Step 5:
The number 75 fits into 698 9 times, leaving a remainder of 23.
Use 9 as the next digit of our solution. 
Result so far: 669.0
The remainder is 23 after subtracting 675 from 698.
Fetch the next digit (2) from the dividend, attach it to 23 and continue: 232 / 75

Let's proceed to step 6:
If we divide 232 by 75, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 6693.0
Subtracting 225 from 232 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
75 goes into 70 0 times with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 6693.0
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
75 goes into 700 9 times with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 6693.09
Deduct 675 from 700 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.

Advancing to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 6693.093
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:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 6693.0933
If we take 225 away from 250, we end up 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.

The final result is 6693.0933 with a remainder of 0.00025.