We're dividing 9624671 by 638 
We want to divide 9624671 by 638.

Let's proceed to step 1:
When dividing 9 by 638, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 638

Advancing to step 2:
638 goes into 96 0 times with a remainder of 96.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 96, we get 96.
Fetch the next digit (2) from the dividend, attach it to 96 and continue: 962 / 638

Moving on to step 3:
If we divide 962 by 638, we get 1 and a remainder of 324.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 324 after subtracting 638 from 962.
Bring next digit (4) of the dividend behind the 324 and repeat the process: 3244 / 638

Advancing to step 4:
3244 divided by 638 is 5 with a remainder of 54.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we take 3190 away from 3244, we end up with 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 638

Step 5:
The number 638 fits into 546 0 times, leaving a remainder of 546.
Write down 0 as next digit of the result. 
Result so far: 150.0
The remainder is 546 after subtracting 0 from 546.
Append the next digit (7) from the dividend to 546 and continue with: 5467 / 638

On to step 6:
When dividing 5467 by 638, we get 8 with a remainder of 363.
Write down 8 as next digit of the result. 
Result so far: 1508.0
If we take 5104 away from 5467, we end up with 363.
Bring next digit (1) of the dividend behind the 363 and repeat the process: 3631 / 638

On to step 7:
638 goes into 3631 5 times with a remainder of 441.
Write down 5 as next digit of the result. 
Result so far: 15085.0
The remainder is 441 after subtracting 3190 from 3631.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4410, and continue the process.

Advancing to step 8:
The number 638 fits into 4410 6 times, leaving a remainder of 582.
Write down 6 as next digit of the result. 
Result so far: 15085.6
Subtract 3828 from 4410 to get 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

Advancing to step 9:
638 can be fit into 5820 9 times, resulting in a remainder of 78.
Use 9 as the next digit of our solution. 
Result so far: 15085.69
If we take 5742 away from 5820, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 10:
When dividing 780 by 638, we get 1 with a remainder of 142.
Use 1 as the next digit of our solution. 
Result so far: 15085.691
Deduct 638 from 780 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Going ahead to step 11:
If we divide 1420 by 638, we get 2 and a remainder of 144.
Put 2 as the next digit of the answer. 
Result so far: 15085.6912
Subtract 1276 from 1420 to get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Let's proceed to step 12:
The number 638 fits into 1440 2 times, leaving a remainder of 164.
Record the quotient 2 as the next digit in the result. 
Result so far: 15085.69122
If we take 1276 away from 1440, we end up with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

The final result is 15085.69122 with a remainder of 0.000164.