Let's divide 135478 by 24
Our goal is to divide 135478 by 24.

Going ahead to step 1:
24 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 24

Let's proceed to step 2:
24 can be fit into 13 0 times, resulting in a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 24

Advancing to step 3:
135 divided by 24 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 120 from 135 and we're left with 15.
Take the next digit (4) from the dividend and append it to 15, then repeat: 154 / 24

Step 4:
When dividing 154 by 24, we get 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 56.0
Deduct 144 from 154 and we're left with 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 24

Advancing to step 5:
If we divide 107 by 24, we get 4 and a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 564.0
The remainder is 11 after subtracting 96 from 107.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 24

Let's proceed to step 6:
118 divided by 24 is 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 5644.0
Subtract 96 from 118 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
24 can be fit into 220 9 times, resulting in a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 5644.9
If we subtract 216 from 220, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
When dividing 40 by 24, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 5644.91
The remainder is 16 after subtracting 24 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 9:
If we divide 160 by 24, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 5644.916
If we take 144 away from 160, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
The number 24 fits into 160 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 5644.9166
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 5644.9166, with a leftover of 0.00016.