We look at the division of 638659 by 5 
We're looking to find how many times 5 goes into 638659.

Advancing to step 1:
When dividing 6 by 5, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 5 from 6.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Advancing to step 2:
The number 5 fits into 13 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 10 from 13 to get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 5

Step 3:
When dividing 38 by 5, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 127.0
Subtracting 35 from 38 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 5

Advancing to step 4:
When dividing 36 by 5, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 1277.0
If we take 35 away from 36, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 5

Going ahead to step 5:
5 goes into 15 3 times with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 12773.0
Deduct 15 from 15 and we're left with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 5

Moving on to step 6:
5 can be fit into 9 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 127731.0
Subtract 5 from 9 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
The number 5 fits into 40 8 times, leaving a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 127731.8
If we take 40 away from 40, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
5 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 127731.8
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
5 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 127731.8
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 127731.8 with a remainder of 0.0.