Let's divide 510908 by 75
Our goal is to divide 510908 by 75.

Step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 75

Let's proceed to step 2:
75 can be fit into 51 0 times, resulting in a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (0) from the dividend, add it to 51, then carry on: 510 / 75

Moving on to step 3:
If we divide 510 by 75, we get 6 and a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 450 from 510 and we're left with 60.
Bring next digit (9) of the dividend behind the 60 and repeat the process: 609 / 75

Step 4:
If we divide 609 by 75, we get 8 and 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.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 75

Going ahead to step 5:
When dividing 90 by 75, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 681.0
If we take 75 away from 90, we end up with 15.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 75

Step 6:
If we divide 158 by 75, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 6812.0
If we take 150 away from 158, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
If we divide 80 by 75, we get 1 and a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 6812.1
If we subtract 75 from 80, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
75 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6812.1
If we subtract 0 from 50, 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 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: 6812.106
The remainder is 50 after subtracting 450 from 500.
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:
When dividing 500 by 75, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6812.1066
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.

The quotient of the division is 6812.1066, and the remainder is 0.0005.