We're dividing 417639 by 44 
Our goal is to divide 417639 by 44.

Moving on to step 1:
44 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 44

Advancing to step 2:
If we divide 41 by 44, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 44

Moving on to step 3:
When dividing 417 by 44, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 396 from 417 to get 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 44

Let's proceed to step 4:
If we divide 216 by 44, we get 4 and a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 94.0
If we subtract 176 from 216, we get 40.
Bring next digit (3) of the dividend behind the 40 and repeat the process: 403 / 44

Advancing to step 5:
The number 44 fits into 403 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 949.0
If we subtract 396 from 403, we get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 44

Step 6:
79 divided by 44 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 9491.0
If we subtract 44 from 79, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 7:
350 divided by 44 is 7 with a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 9491.7
The remainder is 42 after subtracting 308 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 8:
420 divided by 44 is 9 with a remainder of 24.
The next digit of our result is 9. 
Result so far: 9491.79
If we take 396 away from 420, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
44 can be fit into 240 5 times, resulting in a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 9491.795
The remainder is 20 after subtracting 220 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
The number 44 fits into 200 4 times, leaving a remainder of 24.
The next digit of our result is 4. 
Result so far: 9491.7954
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
The number 44 fits into 240 5 times, leaving a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 9491.79545
Subtract 220 from 240 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.

On to step 12:
200 divided by 44 is 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 9491.795454
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 13:
If we divide 240 by 44, we get 5 and a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 9491.7954545
Deduct 220 from 240 and we're left 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.

Advancing to step 14:
The number 44 fits into 200 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 9491.79545454
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 9491.79545454, and the remainder is 2.4e-08.