We look at the division of 418703 by 44 
We're looking to find how many times 44 goes into 418703.

On to step 1:
44 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 44

Step 2:
The number 44 fits into 41 0 times, leaving a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (8) from the dividend after 41, then repeat: 418 / 44

Going ahead to step 3:
418 divided by 44 is 9 with a remainder of 22.
The next digit of our result is 9. 
Result so far: 9.0
If we take 396 away from 418, we end up with 22.
Fetch the next digit (7) from the dividend, attach it to 22 and continue: 227 / 44

Step 4:
If we divide 227 by 44, we get 5 and a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 95.0
The remainder is 7 after subtracting 220 from 227.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 44

Advancing to step 5:
The number 44 fits into 70 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 951.0
If we subtract 44 from 70, we get 26.
Grab the next digit (3) from the dividend, add it to 26, then carry on: 263 / 44

Advancing to step 6:
44 goes into 263 5 times with a remainder of 43.
The next digit of our result is 5. 
Result so far: 9515.0
Subtracting 220 from 263 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
44 goes into 430 9 times with a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 9515.9
If we take 396 away from 430, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
When dividing 340 by 44, we get 7 with a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 9515.97
If we take 308 away from 340, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
44 can be fit into 320 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 9515.977
Subtracting 308 from 320 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 9515.977 with a balance of 0.0012.