We look at the division of 128960 by 96 
We want to figure out the number of times 128960 can be divided by 96.

Advancing to step 1:
1 divided by 96 is 0 with 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.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 96

Moving on to step 2:
96 can be fit into 12 0 times, resulting in a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 96

Step 3:
When dividing 128 by 96, we get 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 96 from 128 to get 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 96

Moving on to step 4:
96 goes into 329 3 times with a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 41 after subtracting 288 from 329.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 96

Moving on to step 5:
When dividing 416 by 96, we get 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 134.0
Subtract 384 from 416 to get 32.
Append the next digit (0) from the dividend to 32 and continue with: 320 / 96

Let's proceed to step 6:
When dividing 320 by 96, we get 3 with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 1343.0
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
If we divide 320 by 96, we get 3 and a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 1343.3
Subtract 288 from 320 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 8:
320 divided by 96 is 3 with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 1343.33
If we take 288 away from 320, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 1343.33, and the remainder is 0.032.