We're dividing 54378 by 77 
We're looking to find how many times 77 goes into 54378.

Going ahead to step 1:
77 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 77

Advancing to step 2:
77 can be fit into 54 0 times, resulting in a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 54 to get 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 77

Advancing to step 3:
When dividing 543 by 77, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 539 from 543 and we're left with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 77

Moving on to step 4:
77 can be fit into 47 0 times, resulting in a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 70.0
Subtracting 0 from 47 leaves us with 47.
Include the next digit (8) from the dividend after 47, then repeat: 478 / 77

Let's proceed to step 5:
77 goes into 478 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 706.0
Subtract 462 from 478 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 6:
77 can be fit into 160 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 706.2
Subtract 154 from 160 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
60 divided by 77 is 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 706.2
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 8:
600 divided by 77 is 7 with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 706.207
If we take 539 away from 600, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 9:
77 can be fit into 610 7 times, resulting in a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 706.2077
The remainder is 71 after subtracting 539 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The final result is 706.2077 with a remainder of 0.00071.