We're dividing 137559 by 24 
We want to divide 137559 by 24.

Step 1:
When dividing 1 by 24, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 24

Let's proceed to step 2:
24 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 24

Advancing to step 3:
137 divided by 24 is 5 with a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 120 from 137 leaves us with 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 24

Moving on to step 4:
175 divided by 24 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 57.0
Deduct 168 from 175 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 24

Going ahead to step 5:
75 divided by 24 is 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 573.0
The remainder is 3 after subtracting 72 from 75.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 24

Moving on to step 6:
When dividing 39 by 24, we get 1 with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 5731.0
Subtracting 24 from 39 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 7:
The number 24 fits into 150 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 5731.6
Subtract 144 from 150 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 24 fits into 60 2 times, leaving a remainder of 12.
The next digit of our result is 2. 
Result so far: 5731.62
Subtract 48 from 60 to 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.

Let's proceed to step 9:
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: 5731.625
Subtract 120 from 120 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
When dividing 0 by 24, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5731.625
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.

Advancing to step 11:
The number 24 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5731.625
Subtracting 0 from 0 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.

In conclusion, the division gives 5731.625 with a balance of 0.0.