We look at the division of 42410097 by 128 
Let's see how many times 128 fits into 42410097.

Going ahead to step 1:
4 divided by 128 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 128

Going ahead to step 2:
If we divide 42 by 128, we get 0 and a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Include the next digit (4) from the dividend after 42, then repeat: 424 / 128

Step 3:
128 goes into 424 3 times with a remainder of 40.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 384 from 424, we get 40.
Fetch the next digit (1) from the dividend, attach it to 40 and continue: 401 / 128

On to step 4:
401 divided by 128 is 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 33.0
The remainder is 17 after subtracting 384 from 401.
Take the next digit (0) from the dividend and append it to 17, then repeat: 170 / 128

Advancing to step 5:
128 goes into 170 1 times with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 331.0
Subtract 128 from 170 to get 42.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 128

Advancing to step 6:
420 divided by 128 is 3 with a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 3313.0
If we take 384 away from 420, we end up with 36.
Take the next digit (9) from the dividend and append it to 36, then repeat: 369 / 128

Going ahead to step 7:
128 can be fit into 369 2 times, resulting in a remainder of 113.
The next digit of our result is 2. 
Result so far: 33132.0
If we take 256 away from 369, we end up with 113.
Append the next digit (7) from the dividend to 113 and continue with: 1137 / 128

Step 8:
128 goes into 1137 8 times with a remainder of 113.
Record the quotient 8 as the next digit in the result. 
Result so far: 331328.0
Subtract 1024 from 1137 to get 113.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Moving on to step 9:
128 goes into 1130 8 times with a remainder of 106.
Use 8 as the next digit of our solution. 
Result so far: 331328.8
Subtract 1024 from 1130 to get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Let's proceed to step 10:
If we divide 1060 by 128, we get 8 and a remainder of 36.
The next digit of our result is 8. 
Result so far: 331328.88
Deduct 1024 from 1060 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 331328.88 with a balance of 0.036.