We look at the division of 41356877 by 543 
We're looking to find how many times 543 goes into 41356877.

Step 1:
4 divided by 543 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 543

Advancing to step 2:
543 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 543

Let's proceed to step 3:
543 can be fit into 413 0 times, resulting in a remainder of 413.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 413 to get 413.
Append the next digit (5) from the dividend to 413 and continue with: 4135 / 543

Let's proceed to step 4:
If we divide 4135 by 543, we get 7 and a remainder of 334.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 334 after subtracting 3801 from 4135.
Include the next digit (6) from the dividend after 334, then repeat: 3346 / 543

Moving on to step 5:
If we divide 3346 by 543, we get 6 and a remainder of 88.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
The remainder is 88 after subtracting 3258 from 3346.
Grab the next digit (8) from the dividend, add it to 88, then carry on: 888 / 543

Let's proceed to step 6:
543 can be fit into 888 1 times, resulting in a remainder of 345.
Use 1 as the next digit of our solution. 
Result so far: 761.0
If we subtract 543 from 888, we get 345.
Append the next digit (7) from the dividend to 345 and continue with: 3457 / 543

Step 7:
3457 divided by 543 is 6 with a remainder of 199.
The next digit of our result is 6. 
Result so far: 7616.0
Subtracting 3258 from 3457 leaves us with 199.
Fetch the next digit (7) from the dividend, attach it to 199 and continue: 1997 / 543

Step 8:
543 can be fit into 1997 3 times, resulting in a remainder of 368.
The next digit of our result is 3. 
Result so far: 76163.0
The remainder is 368 after subtracting 1629 from 1997.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

Step 9:
543 can be fit into 3680 6 times, resulting in a remainder of 422.
The number 6 becomes the next digit in our result. 
Result so far: 76163.6
Deduct 3258 from 3680 and we're left with 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

On to step 10:
The number 543 fits into 4220 7 times, leaving a remainder of 419.
Put 7 as the next digit of the answer. 
Result so far: 76163.67
If we subtract 3801 from 4220, we get 419.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4190, and continue the process.

Let's proceed to step 11:
If we divide 4190 by 543, we get 7 and a remainder of 389.
Record the quotient 7 as the next digit in the result. 
Result so far: 76163.677
If we take 3801 away from 4190, we end up with 389.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3890, and continue the process.

The final result is 76163.677 with a remainder of 0.0389.