We look at the division of 497671 by 45 
We're looking to find how many times 45 goes into 497671.

Advancing 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
Subtract 0 from 4 to get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 45

Let's proceed to step 2:
When dividing 49 by 45, we get 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 45 away from 49, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 45

On to step 3:
47 divided by 45 is 1 with a remainder of 2.
The next digit of our result is 1. 
Result so far: 11.0
Subtract 45 from 47 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 45

Going ahead to step 4:
If we divide 26 by 45, we get 0 and a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 110.0
If we take 0 away from 26, we end up with 26.
Append the next digit (7) from the dividend to 26 and continue with: 267 / 45

Let's proceed to step 5:
267 divided by 45 is 5 with a remainder of 42.
The next digit of our result is 5. 
Result so far: 1105.0
Subtracting 225 from 267 leaves us with 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 45

Step 6:
421 divided by 45 is 9 with a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 11059.0
Subtracting 405 from 421 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
45 can be fit into 160 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 11059.3
If we take 135 away from 160, we end up 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.

On to step 8:
250 divided by 45 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 11059.35
Subtract 225 from 250 to get 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:
If we divide 250 by 45, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 11059.355
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 11059.355 and a remainder of 0.0025.