We look at the division of 412409 by 45 
We're looking to find how many times 45 goes into 412409.

Moving on to step 1:
When dividing 4 by 45, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 45

Step 2:
When dividing 41 by 45, we get 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Take the next digit (2) from the dividend and append it to 41, then repeat: 412 / 45

On to step 3:
45 goes into 412 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 405 from 412 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 45

Let's proceed to step 4:
If we divide 74 by 45, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 91.0
Subtract 45 from 74 to get 29.
Include the next digit (0) from the dividend after 29, then repeat: 290 / 45

Let's proceed to step 5:
45 can be fit into 290 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 916.0
Subtracting 270 from 290 leaves us with 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 45

Moving on to step 6:
When dividing 209 by 45, we get 4 with a remainder of 29.
Write down 4 as next digit of the result. 
Result so far: 9164.0
If we subtract 180 from 209, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
The number 45 fits into 290 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 9164.6
Subtract 270 from 290 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 9164.64
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 9164.644
If we subtract 180 from 200, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 9164.644 and a remainder of 0.002.