473983 divided by 75 
Our goal is to divide 473983 by 75.

Step 1:
4 divided by 75 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 75

On to step 2:
If we divide 47 by 75, we get 0 and a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Fetch the next digit (3) from the dividend, attach it to 47 and continue: 473 / 75

Going ahead to step 3:
If we divide 473 by 75, we get 6 and a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 450 from 473 leaves us with 23.
Grab the next digit (9) from the dividend, add it to 23, then carry on: 239 / 75

Let's proceed to step 4:
75 goes into 239 3 times with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we subtract 225 from 239, we get 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 75

Step 5:
The number 75 fits into 148 1 times, leaving a remainder of 73.
The next digit of our result is 1. 
Result so far: 631.0
Subtract 75 from 148 to get 73.
Fetch the next digit (3) from the dividend, attach it to 73 and continue: 733 / 75

Moving on to step 6:
75 can be fit into 733 9 times, resulting in a remainder of 58.
The next digit of our result is 9. 
Result so far: 6319.0
If we take 675 away from 733, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 7:
If we divide 580 by 75, we get 7 and a remainder of 55.
The next digit of our result is 7. 
Result so far: 6319.7
Subtracting 525 from 580 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
If we divide 550 by 75, we get 7 and a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 6319.77
Deduct 525 from 550 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.

Our division results in 6319.77 with a remaining 0.025.