We look at the division of 418577 by 44 
We want to figure out the number of times 418577 can be divided by 44.

Advancing to step 1:
If we divide 4 by 44, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 44

Step 2:
41 divided by 44 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (8) from the dividend and append it to 41, then repeat: 418 / 44

Going ahead to step 3:
418 divided by 44 is 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 396 from 418 to get 22.
Grab the next digit (5) from the dividend, add it to 22, then carry on: 225 / 44

Going ahead to step 4:
If we divide 225 by 44, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Subtracting 220 from 225 leaves us with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 44

Advancing to step 5:
44 can be fit into 57 1 times, resulting in a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 951.0
Deduct 44 from 57 and we're left with 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 44

On to step 6:
44 can be fit into 137 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 9513.0
If we subtract 132 from 137, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
If we divide 50 by 44, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 9513.1
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
If we divide 60 by 44, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 9513.11
Deduct 44 from 60 and we're left 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.

In conclusion, the division gives 9513.11 with a balance of 0.016.