We're dividing 33178 by 78 
We're looking to find how many times 78 goes into 33178.

Moving on to step 1:
The number 78 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 78

Step 2:
78 can be fit into 33 0 times, resulting in a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Grab the next digit (1) from the dividend, add it to 33, then carry on: 331 / 78

Moving on to step 3:
If we divide 331 by 78, we get 4 and a remainder of 19.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 312 from 331 and we're left with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 78

Step 4:
78 can be fit into 197 2 times, resulting in a remainder of 41.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtract 156 from 197 to get 41.
Append the next digit (8) from the dividend to 41 and continue with: 418 / 78

Moving on to step 5:
418 divided by 78 is 5 with a remainder of 28.
Use 5 as the next digit of our solution. 
Result so far: 425.0
Subtract 390 from 418 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 6:
78 can be fit into 280 3 times, resulting in a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 425.3
The remainder is 46 after subtracting 234 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
If we divide 460 by 78, we get 5 and a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 425.35
Subtracting 390 from 460 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
If we divide 700 by 78, we get 8 and a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 425.358
Subtract 624 from 700 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 9:
If we divide 760 by 78, we get 9 and a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 425.3589
If we subtract 702 from 760, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 10:
If we divide 580 by 78, we get 7 and a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 425.35897
If we take 546 away from 580, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
When dividing 340 by 78, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 425.358974
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
78 can be fit into 280 3 times, resulting in a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 425.3589743
Subtracting 234 from 280 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 13:
78 can be fit into 460 5 times, resulting in a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 425.35897435
Deduct 390 from 460 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The final outcome is 425.35897435, with a leftover of 7e-08.