We look at the division of 638259 by 76 
We're looking to find how many times 76 goes into 638259.

On to step 1:
When dividing 6 by 76, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 76

Let's proceed to step 2:
The number 76 fits into 63 0 times, leaving a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Fetch the next digit (8) from the dividend, attach it to 63 and continue: 638 / 76

Step 3:
76 goes into 638 8 times with a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 608 from 638 and we're left with 30.
Bring next digit (2) of the dividend behind the 30 and repeat the process: 302 / 76

Moving on to step 4:
The number 76 fits into 302 3 times, leaving a remainder of 74.
Use 3 as the next digit of our solution. 
Result so far: 83.0
If we take 228 away from 302, we end up with 74.
Append the next digit (5) from the dividend to 74 and continue with: 745 / 76

On to step 5:
If we divide 745 by 76, we get 9 and a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 839.0
Subtracting 684 from 745 leaves us with 61.
Include the next digit (9) from the dividend after 61, then repeat: 619 / 76

Going ahead to step 6:
When dividing 619 by 76, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 8398.0
Subtracting 608 from 619 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
76 goes into 110 1 times with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 8398.1
If we take 76 away from 110, we end up 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.

Going ahead to step 8:
The number 76 fits into 340 4 times, leaving a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 8398.14
If we subtract 304 from 340, 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.

Moving on to step 9:
76 can be fit into 360 4 times, resulting in a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 8398.144
Deduct 304 from 360 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final result is 8398.144 with a remainder of 0.0056.