We're dividing 128634 by 5 
We want to figure out the number of times 128634 can be divided by 5.

Step 1:
If we divide 1 by 5, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 5

Step 2:
When dividing 12 by 5, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 2 after subtracting 10 from 12.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 5

Moving on to step 3:
5 goes into 28 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 25.0
Subtract 25 from 28 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 5

Step 4:
5 can be fit into 36 7 times, resulting in a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 257.0
Deduct 35 from 36 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 5

Going ahead to step 5:
The number 5 fits into 13 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 2572.0
Subtract 10 from 13 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 5

Advancing to step 6:
5 goes into 34 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 25726.0
The remainder is 4 after subtracting 30 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
5 can be fit into 40 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 25726.8
If we subtract 40 from 40, 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.

Let's proceed to step 8:
If we divide 0 by 5, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25726.8
Subtracting 0 from 0 leaves us 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.

Step 9:
5 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25726.8
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 25726.8 with a remainder of 0.0.