We're dividing 412067 by 78 
We want to divide 412067 by 78.

Going ahead to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 78

Step 2:
41 divided by 78 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 78

Let's proceed to step 3:
412 divided by 78 is 5 with a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 390 from 412 to get 22.
Append the next digit (0) from the dividend to 22 and continue with: 220 / 78

On to step 4:
78 goes into 220 2 times with a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we take 156 away from 220, we end up with 64.
Include the next digit (6) from the dividend after 64, then repeat: 646 / 78

Moving on to step 5:
When dividing 646 by 78, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 528.0
Subtracting 624 from 646 leaves us with 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 78

Let's proceed to step 6:
78 goes into 227 2 times with a remainder of 71.
The next digit of our result is 2. 
Result so far: 5282.0
Subtracting 156 from 227 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 7:
When dividing 710 by 78, we get 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 5282.9
Deduct 702 from 710 and we're left 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.

Going ahead to step 8:
When dividing 80 by 78, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 5282.91
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
When dividing 20 by 78, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5282.91
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
200 divided by 78 is 2 with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 5282.9102
If we take 156 away from 200, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
If we divide 440 by 78, we get 5 and a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 5282.91025
Subtract 390 from 440 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 12:
When dividing 500 by 78, we get 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 5282.910256
Subtract 468 from 500 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
When dividing 320 by 78, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 5282.9102564
The remainder is 8 after subtracting 312 from 320.
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 14:
When dividing 80 by 78, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 5282.91025641
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 5282.91025641 with a balance of 2e-09.