472821 divided by 75 
Our goal is to divide 472821 by 75.

Step 1:
When dividing 4 by 75, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 75

Advancing to step 2:
47 divided by 75 is 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Fetch the next digit (2) from the dividend, attach it to 47 and continue: 472 / 75

Step 3:
The number 75 fits into 472 6 times, leaving a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 450 away from 472, we end up with 22.
Append the next digit (8) from the dividend to 22 and continue with: 228 / 75

Let's proceed to step 4:
When dividing 228 by 75, we get 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we take 225 away from 228, we end up with 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 75

On to step 5:
75 goes into 32 0 times with a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 630.0
If we take 0 away from 32, we end up with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 75

Moving on to step 6:
The number 75 fits into 321 4 times, leaving a remainder of 21.
Write down 4 as next digit of the result. 
Result so far: 6304.0
If we subtract 300 from 321, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
When dividing 210 by 75, we get 2 with a remainder of 60.
The number 2 becomes the next digit in our result. 
Result so far: 6304.2
The remainder is 60 after subtracting 150 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 8:
If we divide 600 by 75, we get 8 and a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 6304.28
If we subtract 600 from 600, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 75 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6304.28
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
The number 75 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6304.28
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 6304.28 with a remainder of 0.0.