We look at the division of 511979 by 75 
Let's see how many times 75 fits into 511979.

Moving on to step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 75

Going ahead to step 2:
75 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Append the next digit (1) from the dividend to 51 and continue with: 511 / 75

Step 3:
75 goes into 511 6 times with a remainder of 61.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 450 from 511 and we're left with 61.
Take the next digit (9) from the dividend and append it to 61, then repeat: 619 / 75

Advancing to step 4:
75 goes into 619 8 times with a remainder of 19.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
If we subtract 600 from 619, we get 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 75

On to step 5:
75 goes into 197 2 times with a remainder of 47.
Put 2 as the next digit of the answer. 
Result so far: 682.0
Deduct 150 from 197 and we're left with 47.
Append the next digit (9) from the dividend to 47 and continue with: 479 / 75

Advancing to step 6:
75 goes into 479 6 times with a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 6826.0
The remainder is 29 after subtracting 450 from 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
The number 75 fits into 290 3 times, leaving a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 6826.3
Subtract 225 from 290 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 8:
If we divide 650 by 75, we get 8 and a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 6826.38
If we subtract 600 from 650, 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.

Advancing to step 9:
75 goes into 500 6 times with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6826.386
Subtracting 450 from 500 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 10:
500 divided by 75 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6826.3866
If we take 450 away from 500, we end up 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.

The final result is 6826.3866 with a remainder of 0.0005.