We look at the division of 638321 by 74 
We're looking to find how many times 74 goes into 638321.

Advancing to step 1:
If we divide 6 by 74, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 74

Advancing to step 2:
63 divided by 74 is 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (8) from the dividend after 63, then repeat: 638 / 74

On to step 3:
When dividing 638 by 74, we get 8 with a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 8.0
The remainder is 46 after subtracting 592 from 638.
Fetch the next digit (3) from the dividend, attach it to 46 and continue: 463 / 74

Going ahead to step 4:
If we divide 463 by 74, we get 6 and a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 86.0
If we take 444 away from 463, we end up with 19.
Fetch the next digit (2) from the dividend, attach it to 19 and continue: 192 / 74

Advancing to step 5:
When dividing 192 by 74, we get 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 862.0
Subtract 148 from 192 to get 44.
Grab the next digit (1) from the dividend, add it to 44, then carry on: 441 / 74

On to step 6:
74 goes into 441 5 times with a remainder of 71.
The next digit of our result is 5. 
Result so far: 8625.0
Subtract 370 from 441 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 7:
When dividing 710 by 74, we get 9 with a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 8625.9
If we subtract 666 from 710, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 8:
74 goes into 440 5 times with a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 8625.95
If we subtract 370 from 440, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 9:
74 goes into 700 9 times with a remainder of 34.
Use 9 as the next digit of our solution. 
Result so far: 8625.959
The remainder is 34 after subtracting 666 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
The number 74 fits into 340 4 times, leaving a remainder of 44.
Put 4 as the next digit of the answer. 
Result so far: 8625.9594
If we subtract 296 from 340, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 11:
74 can be fit into 440 5 times, resulting in a remainder of 70.
The next digit of our result is 5. 
Result so far: 8625.95945
Subtracting 370 from 440 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 12:
74 goes into 700 9 times with a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 8625.959459
Subtract 666 from 700 to get 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 13:
If we divide 340 by 74, we get 4 and a remainder of 44.
The next digit of our result is 4. 
Result so far: 8625.9594594
If we subtract 296 from 340, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
74 goes into 440 5 times with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 8625.95945945
Subtract 370 from 440 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The final result is 8625.95945945 with a remainder of 7e-08.