We're dividing 634391 by 44 
We're looking to find how many times 44 goes into 634391.

Going ahead to step 1:
44 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 44

Going ahead to step 2:
The number 44 fits into 63 1 times, leaving a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 44 from 63 to get 19.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 44

Moving on to step 3:
194 divided by 44 is 4 with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 18 after subtracting 176 from 194.
Bring next digit (3) of the dividend behind the 18 and repeat the process: 183 / 44

Moving on to step 4:
The number 44 fits into 183 4 times, leaving a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 144.0
Deduct 176 from 183 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 44

Let's proceed to step 5:
When dividing 79 by 44, we get 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 1441.0
If we subtract 44 from 79, we get 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 44

Moving on to step 6:
351 divided by 44 is 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 14417.0
Subtracting 308 from 351 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:
The number 44 fits into 430 9 times, leaving a remainder of 34.
The next digit of our result is 9. 
Result so far: 14417.9
Subtracting 396 from 430 leaves us 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.

Moving on to step 8:
If we divide 340 by 44, we get 7 and a remainder of 32.
The number 7 becomes the next digit in our result. 
Result so far: 14417.97
If we subtract 308 from 340, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
The number 44 fits into 320 7 times, leaving a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 14417.977
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.

After the division, we end up with 14417.977 and a remainder of 0.0012.