Let's divide 417133 by 45
Our goal is to divide 417133 by 45.

Advancing to step 1:
If we divide 4 by 45, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 45

On to step 2:
The number 45 fits into 41 0 times, leaving a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 45

Moving on to step 3:
417 divided by 45 is 9 with a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 405 from 417 to get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 45

Let's proceed to step 4:
45 goes into 121 2 times with a remainder of 31.
The next digit of our result is 2. 
Result so far: 92.0
The remainder is 31 after subtracting 90 from 121.
Include the next digit (3) from the dividend after 31, then repeat: 313 / 45

Let's proceed to step 5:
If we divide 313 by 45, we get 6 and a remainder of 43.
Write down 6 as next digit of the result. 
Result so far: 926.0
Subtract 270 from 313 to get 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 45

Step 6:
If we divide 433 by 45, we get 9 and a remainder of 28.
The next digit of our result is 9. 
Result so far: 9269.0
Subtracting 405 from 433 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
If we divide 280 by 45, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 9269.6
If we subtract 270 from 280, we 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.

Moving on to step 8:
45 can be fit into 100 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 9269.62
If we subtract 90 from 100, we 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 9:
The number 45 fits into 100 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 9269.622
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 outcome is 9269.622, with a leftover of 0.001.