3560 ÷ 96 
We're looking to find how many times 96 goes into 3560.

Let's proceed to step 1:
If we divide 3 by 96, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 96

Advancing to step 2:
96 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 96

On to step 3:
96 can be fit into 356 3 times, resulting in a remainder of 68.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 288 from 356 leaves us with 68.
Take the next digit (0) from the dividend and append it to 68, then repeat: 680 / 96

On to step 4:
96 goes into 680 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
If we take 672 away from 680, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 5:
The number 96 fits into 80 0 times, leaving a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 37.0
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 6:
96 goes into 800 8 times with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 37.08
Subtracting 768 from 800 leaves us 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.

On to step 7:
When dividing 320 by 96, we get 3 with a remainder of 32.
The next digit of our result is 3. 
Result so far: 37.083
Deduct 288 from 320 and we're left 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.

Moving on to step 8:
The number 96 fits into 320 3 times, leaving a remainder of 32.
The next digit of our result is 3. 
Result so far: 37.0833
Deduct 288 from 320 and we're left 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 final outcome is 37.0833, with a leftover of 0.00032.