543217 ÷ 77 
We want to divide 543217 by 77.

Step 1:
77 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 77

Moving on to step 2:
When dividing 54 by 77, we get 0 with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Include the next digit (3) from the dividend after 54, then repeat: 543 / 77

On to step 3:
543 divided by 77 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 539 from 543 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 77

Let's proceed to step 4:
The number 77 fits into 42 0 times, leaving a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we take 0 away from 42, we end up with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 77

Advancing to step 5:
421 divided by 77 is 5 with a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 705.0
The remainder is 36 after subtracting 385 from 421.
Append the next digit (7) from the dividend to 36 and continue with: 367 / 77

Let's proceed to step 6:
The number 77 fits into 367 4 times, leaving a remainder of 59.
Put 4 as the next digit of the answer. 
Result so far: 7054.0
If we take 308 away from 367, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 7:
77 goes into 590 7 times with a remainder of 51.
Put 7 as the next digit of the answer. 
Result so far: 7054.7
Deduct 539 from 590 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 8:
If we divide 510 by 77, we get 6 and a remainder of 48.
The next digit of our result is 6. 
Result so far: 7054.76
Subtract 462 from 510 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 9:
The number 77 fits into 480 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 7054.766
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 7054.766 with a balance of 0.0018.