We look at the division of 377234 by 78 
We're looking to find how many times 78 goes into 377234.

Let's proceed to step 1:
78 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 78

Going ahead to step 2:
78 can be fit into 37 0 times, resulting in 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.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 78

Moving on to step 3:
78 can be fit into 377 4 times, resulting in a remainder of 65.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 312 from 377, we get 65.
Grab the next digit (2) from the dividend, add it to 65, then carry on: 652 / 78

Step 4:
When dividing 652 by 78, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 48.0
The remainder is 28 after subtracting 624 from 652.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 78

Let's proceed to step 5:
If we divide 283 by 78, we get 3 and a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 483.0
Subtracting 234 from 283 leaves us with 49.
Bring next digit (4) of the dividend behind the 49 and repeat the process: 494 / 78

Advancing to step 6:
78 can be fit into 494 6 times, resulting in a remainder of 26.
The next digit of our result is 6. 
Result so far: 4836.0
The remainder is 26 after subtracting 468 from 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
The number 78 fits into 260 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 4836.3
Deduct 234 from 260 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
The number 78 fits into 260 3 times, leaving a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 4836.33
If we take 234 away from 260, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 4836.33 with a balance of 0.026.