Let's divide 478315 by 45
Our goal is to divide 478315 by 45.

Going ahead to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 45

Moving on to step 2:
The number 45 fits into 47 1 times, leaving a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 45 from 47, we get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 45

Let's proceed to step 3:
28 divided by 45 is 0 with a remainder of 28.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 28 to get 28.
Take the next digit (3) from the dividend and append it to 28, then repeat: 283 / 45

On to step 4:
If we divide 283 by 45, we get 6 and a remainder of 13.
The next digit of our result is 6. 
Result so far: 106.0
If we subtract 270 from 283, we get 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 45

Advancing to step 5:
The number 45 fits into 131 2 times, leaving a remainder of 41.
The next digit of our result is 2. 
Result so far: 1062.0
Subtract 90 from 131 to get 41.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 45

Moving on to step 6:
When dividing 415 by 45, we get 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 10629.0
Subtract 405 from 415 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
When dividing 100 by 45, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 10629.2
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
100 divided by 45 is 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 10629.22
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 10629.22 and a remainder of 0.01.