35121 divided by 24 
Let's see how many times 24 fits into 35121.

On to step 1:
24 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 24

Step 2:
24 can be fit into 35 1 times, resulting in a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 24 away from 35, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 24

Going ahead to step 3:
24 goes into 111 4 times with a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 96 from 111 to get 15.
Take the next digit (2) from the dividend and append it to 15, then repeat: 152 / 24

On to step 4:
The number 24 fits into 152 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 146.0
Deduct 144 from 152 and we're left with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 24

Let's proceed to step 5:
If we divide 81 by 24, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 1463.0
Subtracting 72 from 81 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
24 goes into 90 3 times with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 1463.3
Subtract 72 from 90 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
If we divide 180 by 24, we get 7 and a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 1463.37
If we subtract 168 from 180, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
If we divide 120 by 24, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1463.375
Subtracting 120 from 120 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 24, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1463.375
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
If we divide 0 by 24, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1463.375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 1463.375 with a balance of 0.0.