Let's divide 178078 by 24
Our goal is to divide 178078 by 24.

Going ahead to step 1:
When dividing 1 by 24, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 24

Step 2:
The number 24 fits into 17 0 times, leaving a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 24

Advancing to step 3:
The number 24 fits into 178 7 times, leaving a remainder of 10.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 10 after subtracting 168 from 178.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 24

Step 4:
If we divide 100 by 24, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 74.0
Subtracting 96 from 100 leaves us with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 24

On to step 5:
24 can be fit into 47 1 times, resulting in a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 741.0
Subtracting 24 from 47 leaves us with 23.
Grab the next digit (8) from the dividend, add it to 23, then carry on: 238 / 24

Let's proceed to step 6:
24 goes into 238 9 times with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 7419.0
Deduct 216 from 238 and we're left with 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 goes into 220 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 7419.9
Deduct 216 from 220 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
The number 24 fits into 40 1 times, leaving a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 7419.91
If we subtract 24 from 40, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
When dividing 160 by 24, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 7419.916
Subtracting 144 from 160 leaves us 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.

On to step 10:
The number 24 fits into 160 6 times, leaving a remainder of 16.
The next digit of our result is 6. 
Result so far: 7419.9166
If we subtract 144 from 160, we get 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 7419.9166, with a leftover of 0.00016.