We look at the division of 638176 by 75 
We want to divide 638176 by 75.

On to step 1:
75 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 75

Moving on to step 2:
75 can be fit into 63 0 times, resulting in a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Fetch the next digit (8) from the dividend, attach it to 63 and continue: 638 / 75

Going ahead to step 3:
When dividing 638 by 75, we get 8 with a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 38 after subtracting 600 from 638.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 75

Going ahead to step 4:
75 can be fit into 381 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Subtracting 375 from 381 leaves us with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 75

Let's proceed to step 5:
The number 75 fits into 67 0 times, leaving a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 850.0
Subtracting 0 from 67 leaves us with 67.
Include the next digit (6) from the dividend after 67, then repeat: 676 / 75

Going ahead to step 6:
If we divide 676 by 75, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 8509.0
Deduct 675 from 676 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
75 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 8509.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
When dividing 100 by 75, we get 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 8509.01
Subtract 75 from 100 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
75 goes into 250 3 times with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 8509.013
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
If we divide 250 by 75, we get 3 and a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 8509.0133
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The final outcome is 8509.0133, with a leftover of 0.00025.