41663 ÷ 24 
We're looking to find how many times 24 goes into 41663.

On to step 1:
When dividing 4 by 24, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 24

Advancing to step 2:
If we divide 41 by 24, we get 1 and a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 24 from 41, we get 17.
Append the next digit (6) from the dividend to 17 and continue with: 176 / 24

Step 3:
The number 24 fits into 176 7 times, leaving a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtract 168 from 176 to get 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 24

Step 4:
24 can be fit into 86 3 times, resulting in a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 173.0
Subtracting 72 from 86 leaves us with 14.
Grab the next digit (3) from the dividend, add it to 14, then carry on: 143 / 24

Moving on to step 5:
If we divide 143 by 24, we get 5 and a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 1735.0
The remainder is 23 after subtracting 120 from 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 6:
The number 24 fits into 230 9 times, leaving a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 1735.9
If we subtract 216 from 230, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
140 divided by 24 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 1735.95
If we subtract 120 from 140, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 24 fits into 200 8 times, leaving a remainder of 8.
The next digit of our result is 8. 
Result so far: 1735.958
If we take 192 away from 200, 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.

Moving on to step 9:
If we divide 80 by 24, we get 3 and a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 1735.9583
Subtracting 72 from 80 leaves us 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.

On to step 10:
The number 24 fits into 80 3 times, leaving a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 1735.95833
Deduct 72 from 80 and we're left 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.

In conclusion, the division gives 1735.95833 with a balance of 8e-06.