We look at the division of 478594 by 45 
Let's see how many times 45 fits into 478594.

Going ahead to step 1:
The number 45 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 45

Going ahead to step 2:
If we divide 47 by 45, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 45 away from 47, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 45

Step 3:
28 divided by 45 is 0 with a remainder of 28.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 28 leaves us with 28.
Grab the next digit (5) from the dividend, add it to 28, then carry on: 285 / 45

Step 4:
45 goes into 285 6 times with a remainder of 15.
The next digit of our result is 6. 
Result so far: 106.0
The remainder is 15 after subtracting 270 from 285.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 45

Step 5:
159 divided by 45 is 3 with a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 1063.0
If we subtract 135 from 159, we get 24.
Bring next digit (4) of the dividend behind the 24 and repeat the process: 244 / 45

Moving on to step 6:
45 goes into 244 5 times with a remainder of 19.
The next digit of our result is 5. 
Result so far: 10635.0
Subtracting 225 from 244 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
When dividing 190 by 45, we get 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 10635.4
Subtract 180 from 190 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.

Advancing to step 8:
If we divide 100 by 45, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 10635.42
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.

On to step 9:
When dividing 100 by 45, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 10635.422
Deduct 90 from 100 and we're left 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.

The final result is 10635.422 with a remainder of 0.001.