We're dividing 408974 by 9 
We want to figure out the number of times 408974 can be divided by 9.

Step 1:
If we divide 4 by 9, we get 0 and 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.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 9

Moving on to step 2:
9 can be fit into 40 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 36 away from 40, we end up with 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 9

Going ahead to step 3:
When dividing 48 by 9, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 45.0
The remainder is 3 after subtracting 45 from 48.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 9

On to step 4:
39 divided by 9 is 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 454.0
Subtract 36 from 39 to get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 9

Moving on to step 5:
If we divide 37 by 9, we get 4 and a remainder of 1.
Use 4 as the next digit of our solution. 
Result so far: 4544.0
The remainder is 1 after subtracting 36 from 37.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 9

Let's proceed to step 6:
9 can be fit into 14 1 times, resulting in a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 45441.0
If we take 9 away from 14, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
9 can be fit into 50 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 45441.5
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 45441.55
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 45441.55, and the remainder is 0.005.