We look at the division of 478315 by 75 
Let's see how many times 75 fits into 478315.

On to step 1:
If we divide 4 by 75, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 75

On to step 2:
47 divided by 75 is 0 with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Take the next digit (8) from the dividend and append it to 47, then repeat: 478 / 75

Advancing to step 3:
75 goes into 478 6 times with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 450 from 478, we get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 75

Advancing to step 4:
If we divide 283 by 75, we get 3 and a remainder of 58.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
Subtracting 225 from 283 leaves us with 58.
Include the next digit (1) from the dividend after 58, then repeat: 581 / 75

On to step 5:
If we divide 581 by 75, we get 7 and a remainder of 56.
The next digit of our result is 7. 
Result so far: 637.0
Subtracting 525 from 581 leaves us with 56.
Grab the next digit (5) from the dividend, add it to 56, then carry on: 565 / 75

Going ahead to step 6:
75 goes into 565 7 times with a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 6377.0
The remainder is 40 after subtracting 525 from 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 7:
75 can be fit into 400 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 6377.5
Subtracting 375 from 400 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.

Moving on to step 8:
250 divided by 75 is 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6377.53
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.

Let's proceed to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 6377.533
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 6377.533 with a balance of 0.0025.