We divide 35968 by 96
Let's see how many times 96 fits into 35968.

Advancing to step 1:
96 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 96

Step 2:
If we divide 35 by 96, we get 0 and a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 96

Going ahead to step 3:
96 goes into 359 3 times with a remainder of 71.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 288 from 359, we get 71.
Include the next digit (6) from the dividend after 71, then repeat: 716 / 96

Moving on to step 4:
716 divided by 96 is 7 with a remainder of 44.
The next digit of our result is 7. 
Result so far: 37.0
The remainder is 44 after subtracting 672 from 716.
Grab the next digit (8) from the dividend, add it to 44, then carry on: 448 / 96

Advancing to step 5:
448 divided by 96 is 4 with a remainder of 64.
The next digit of our result is 4. 
Result so far: 374.0
If we take 384 away from 448, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 6:
640 divided by 96 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 374.6
Subtracting 576 from 640 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 7:
The number 96 fits into 640 6 times, leaving a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 374.66
If we subtract 576 from 640, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 374.66, with a leftover of 0.064.