378944 ÷ 80 
Let's see how many times 80 fits into 378944.

Step 1:
When dividing 3 by 80, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 80

Advancing to step 2:
If we divide 37 by 80, we get 0 and a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 80

On to step 3:
When dividing 378 by 80, we get 4 with a remainder of 58.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 58 after subtracting 320 from 378.
Bring next digit (9) of the dividend behind the 58 and repeat the process: 589 / 80

On to step 4:
If we divide 589 by 80, we get 7 and a remainder of 29.
The next digit of our result is 7. 
Result so far: 47.0
The remainder is 29 after subtracting 560 from 589.
Bring next digit (4) of the dividend behind the 29 and repeat the process: 294 / 80

Step 5:
The number 80 fits into 294 3 times, leaving a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 473.0
The remainder is 54 after subtracting 240 from 294.
Fetch the next digit (4) from the dividend, attach it to 54 and continue: 544 / 80

Going ahead to step 6:
The number 80 fits into 544 6 times, leaving a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 4736.0
Deduct 480 from 544 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
80 can be fit into 640 8 times, resulting in a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 4736.8
If we subtract 640 from 640, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
80 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4736.8
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
The number 80 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 4736.8
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 4736.8 with a balance of 0.0.