We look at the division of 379444 by 78 
We're looking to find how many times 78 goes into 379444.

Step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 78

Moving on to step 2:
37 divided by 78 is 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Bring next digit (9) of the dividend behind the 37 and repeat the process: 379 / 78

Let's proceed to step 3:
78 goes into 379 4 times with a remainder of 67.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 312 away from 379, we end up with 67.
Grab the next digit (4) from the dividend, add it to 67, then carry on: 674 / 78

Step 4:
If we divide 674 by 78, we get 8 and a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 48.0
If we subtract 624 from 674, we get 50.
Include the next digit (4) from the dividend after 50, then repeat: 504 / 78

Advancing to step 5:
78 can be fit into 504 6 times, resulting in a remainder of 36.
The next digit of our result is 6. 
Result so far: 486.0
If we subtract 468 from 504, we get 36.
Take the next digit (4) from the dividend and append it to 36, then repeat: 364 / 78

Moving on to step 6:
78 goes into 364 4 times with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 4864.0
The remainder is 52 after subtracting 312 from 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
The number 78 fits into 520 6 times, leaving a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 4864.6
If we subtract 468 from 520, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
The number 78 fits into 520 6 times, leaving a remainder of 52.
The next digit of our result is 6. 
Result so far: 4864.66
If we subtract 468 from 520, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 4864.66 with a balance of 0.052.