We divide 153557 by 24
We want to figure out the number of times 153557 can be divided by 24.

Advancing to step 1:
24 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 24

Moving on to step 2:
If we divide 15 by 24, we get 0 and a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 24

Let's proceed to step 3:
When dividing 153 by 24, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 144 from 153 leaves us with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 24

Advancing to step 4:
24 goes into 95 3 times with a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 63.0
The remainder is 23 after subtracting 72 from 95.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 24

Step 5:
The number 24 fits into 235 9 times, leaving a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 639.0
Deduct 216 from 235 and we're left with 19.
Fetch the next digit (7) from the dividend, attach it to 19 and continue: 197 / 24

Going ahead to step 6:
24 goes into 197 8 times with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 6398.0
Subtract 192 from 197 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 24 fits into 50 2 times, leaving a remainder of 2.
The next digit of our result is 2. 
Result so far: 6398.2
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 24 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6398.2
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
24 can be fit into 200 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 6398.208
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.

On to step 10:
If we divide 80 by 24, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 6398.2083
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
If we divide 80 by 24, we get 3 and a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 6398.20833
If we subtract 72 from 80, we 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.

The final outcome is 6398.20833, with a leftover of 8e-06.