438378 ÷ 71 
We want to divide 438378 by 71.

On to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 71

Step 2:
The number 71 fits into 43 0 times, leaving a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Grab the next digit (8) from the dividend, add it to 43, then carry on: 438 / 71

Moving on to step 3:
438 divided by 71 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 426 away from 438, we end up with 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 71

Going ahead to step 4:
123 divided by 71 is 1 with a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 61.0
Subtracting 71 from 123 leaves us with 52.
Take the next digit (7) from the dividend and append it to 52, then repeat: 527 / 71

Advancing to step 5:
71 can be fit into 527 7 times, resulting in a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 617.0
If we subtract 497 from 527, we get 30.
Bring next digit (8) of the dividend behind the 30 and repeat the process: 308 / 71

Moving on to step 6:
71 goes into 308 4 times with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 6174.0
The remainder is 24 after subtracting 284 from 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
The number 71 fits into 240 3 times, leaving a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 6174.3
Subtract 213 from 240 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
71 goes into 270 3 times with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 6174.33
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

In conclusion, the division gives 6174.33 with a balance of 0.057.