We look at the division of 476477 by 45 
We want to figure out the number of times 476477 can be divided by 45.

Step 1:
45 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
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

Going ahead to step 2:
The number 45 fits into 47 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 47 leaves us with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 45

Let's proceed to step 3:
26 divided by 45 is 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 26, we get 26.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 45

Step 4:
When dividing 264 by 45, we get 5 with a remainder of 39.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Deduct 225 from 264 and we're left with 39.
Grab the next digit (7) from the dividend, add it to 39, then carry on: 397 / 45

Advancing to step 5:
If we divide 397 by 45, we get 8 and a remainder of 37.
Put 8 as the next digit of the answer. 
Result so far: 1058.0
If we take 360 away from 397, we end up with 37.
Fetch the next digit (7) from the dividend, attach it to 37 and continue: 377 / 45

Moving on to step 6:
45 can be fit into 377 8 times, resulting in a remainder of 17.
The number 8 becomes the next digit in our result. 
Result so far: 10588.0
If we subtract 360 from 377, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
When dividing 170 by 45, we get 3 with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 10588.3
If we take 135 away from 170, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 10588.37
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
45 can be fit into 350 7 times, resulting in a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 10588.377
If we take 315 away from 350, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 10588.377 and a remainder of 0.0035.