We're dividing 380416 by 77 
We're looking to find how many times 77 goes into 380416.

Let's proceed to step 1:
The number 77 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 77

Advancing to step 2:
When dividing 38 by 77, we get 0 with a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Bring next digit (0) of the dividend behind the 38 and repeat the process: 380 / 77

Moving on to step 3:
If we divide 380 by 77, we get 4 and a remainder of 72.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 72 after subtracting 308 from 380.
Bring next digit (4) of the dividend behind the 72 and repeat the process: 724 / 77

Moving on to step 4:
When dividing 724 by 77, we get 9 with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
Subtract 693 from 724 to get 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 77

On to step 5:
When dividing 311 by 77, we get 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 494.0
Deduct 308 from 311 and we're left with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 77

Let's proceed to step 6:
77 goes into 36 0 times with a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 4940.0
Deduct 0 from 36 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
360 divided by 77 is 4 with a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 4940.4
Subtract 308 from 360 to 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.

Advancing to step 8:
520 divided by 77 is 6 with a remainder of 58.
Record the quotient 6 as the next digit in the result. 
Result so far: 4940.46
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 9:
If we divide 580 by 77, we get 7 and a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 4940.467
If we subtract 539 from 580, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 10:
The number 77 fits into 410 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 4940.4675
The remainder is 25 after subtracting 385 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
250 divided by 77 is 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 4940.46753
Subtracting 231 from 250 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 12:
If we divide 190 by 77, we get 2 and a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 4940.467532
The remainder is 36 after subtracting 154 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
If we divide 360 by 77, we get 4 and a remainder of 52.
The next digit of our result is 4. 
Result so far: 4940.4675324
If we subtract 308 from 360, 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.

Moving on to step 14:
520 divided by 77 is 6 with a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 4940.46753246
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 4940.46753246 with a balance of 5.8e-08.