We look at the division of 478356 by 87 
Our goal is to divide 478356 by 87.

Advancing to step 1:
4 divided by 87 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 87

Advancing to step 2:
47 divided by 87 is 0 with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 47, we end up with 47.
Include the next digit (8) from the dividend after 47, then repeat: 478 / 87

Going ahead to step 3:
The number 87 fits into 478 5 times, leaving a remainder of 43.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 435 away from 478, we end up with 43.
Bring next digit (3) of the dividend behind the 43 and repeat the process: 433 / 87

Step 4:
87 goes into 433 4 times with a remainder of 85.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
The remainder is 85 after subtracting 348 from 433.
Bring next digit (5) of the dividend behind the 85 and repeat the process: 855 / 87

On to step 5:
The number 87 fits into 855 9 times, leaving a remainder of 72.
Record the quotient 9 as the next digit in the result. 
Result so far: 549.0
The remainder is 72 after subtracting 783 from 855.
Append the next digit (6) from the dividend to 72 and continue with: 726 / 87

On to step 6:
87 goes into 726 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 5498.0
If we subtract 696 from 726, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
300 divided by 87 is 3 with a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 5498.3
Subtracting 261 from 300 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 8:
87 can be fit into 390 4 times, resulting in a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 5498.34
If we subtract 348 from 390, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 9:
The number 87 fits into 420 4 times, leaving a remainder of 72.
Put 4 as the next digit of the answer. 
Result so far: 5498.344
If we subtract 348 from 420, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The final result is 5498.344 with a remainder of 0.0072.