We look at the division of 634411 by 44 
Let's see how many times 44 fits into 634411.

Step 1:
6 divided by 44 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 44

On to step 2:
44 goes into 63 1 times with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 44 from 63 and we're left with 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 44

On to step 3:
194 divided by 44 is 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 14.0
The remainder is 18 after subtracting 176 from 194.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 44

Going ahead to step 4:
If we divide 184 by 44, we get 4 and a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 144.0
If we take 176 away from 184, we end up with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 44

Let's proceed to step 5:
44 goes into 81 1 times with a remainder of 37.
The next digit of our result is 1. 
Result so far: 1441.0
If we take 44 away from 81, we end up with 37.
Bring next digit (1) of the dividend behind the 37 and repeat the process: 371 / 44

Moving on to step 6:
If we divide 371 by 44, we get 8 and a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 14418.0
Deduct 352 from 371 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
The number 44 fits into 190 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 14418.4
The remainder is 14 after subtracting 176 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
The number 44 fits into 140 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 14418.43
The remainder is 8 after subtracting 132 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 9:
44 can be fit into 80 1 times, resulting in a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 14418.431
If we subtract 44 from 80, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
When dividing 360 by 44, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 14418.4318
If we take 352 away from 360, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
When dividing 80 by 44, we get 1 with a remainder of 36.
The next digit of our result is 1. 
Result so far: 14418.43181
The remainder is 36 after subtracting 44 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
360 divided by 44 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 14418.431818
Subtract 352 from 360 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
44 can be fit into 80 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 14418.4318181
Subtract 44 from 80 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 14:
The number 44 fits into 360 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 14418.43181818
Subtracting 352 from 360 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 14418.43181818, and the remainder is 8e-09.