Let's divide 41969 by 96
We want to figure out the number of times 41969 can be divided by 96.

On to step 1:
96 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 96

Going ahead to step 2:
96 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 96

Going ahead to step 3:
The number 96 fits into 419 4 times, leaving a remainder of 35.
The next digit of our result is 4. 
Result so far: 4.0
If we take 384 away from 419, we end up with 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 96

Step 4:
The number 96 fits into 356 3 times, leaving a remainder of 68.
Put 3 as the next digit of the answer. 
Result so far: 43.0
If we subtract 288 from 356, we get 68.
Take the next digit (9) from the dividend and append it to 68, then repeat: 689 / 96

Advancing to step 5:
96 goes into 689 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 437.0
If we take 672 away from 689, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 6:
When dividing 170 by 96, we get 1 with a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 437.1
Subtracting 96 from 170 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 7:
The number 96 fits into 740 7 times, leaving a remainder of 68.
Use 7 as the next digit of our solution. 
Result so far: 437.17
The remainder is 68 after subtracting 672 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
The number 96 fits into 680 7 times, leaving a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 437.177
Subtract 672 from 680 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 437.177 and a remainder of 0.0008.