546364 ÷ 81 
Our goal is to divide 546364 by 81.

Advancing to step 1:
81 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
If we take 0 away from 5, we end up with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 81

Advancing to step 2:
81 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
If we take 0 away from 54, we end up with 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 81

Moving on to step 3:
The number 81 fits into 546 6 times, leaving a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 486 from 546, we get 60.
Grab the next digit (3) from the dividend, add it to 60, then carry on: 603 / 81

Advancing to step 4:
When dividing 603 by 81, we get 7 with a remainder of 36.
The next digit of our result is 7. 
Result so far: 67.0
Subtract 567 from 603 to get 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 81

Advancing to step 5:
If we divide 366 by 81, we get 4 and a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 674.0
Deduct 324 from 366 and we're left with 42.
Take the next digit (4) from the dividend and append it to 42, then repeat: 424 / 81

Step 6:
If we divide 424 by 81, we get 5 and a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 6745.0
The remainder is 19 after subtracting 405 from 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
When dividing 190 by 81, we get 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 6745.2
Deduct 162 from 190 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
280 divided by 81 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 6745.23
Deduct 243 from 280 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 9:
If we divide 370 by 81, we get 4 and a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 6745.234
If we subtract 324 from 370, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 10:
81 can be fit into 460 5 times, resulting in a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 6745.2345
If we take 405 away from 460, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 11:
81 can be fit into 550 6 times, resulting in a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 6745.23456
Subtracting 486 from 550 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
81 can be fit into 640 7 times, resulting in a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 6745.234567
The remainder is 73 after subtracting 567 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 13:
If we divide 730 by 81, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 6745.2345679
Subtract 729 from 730 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
81 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6745.2345679
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 6745.2345679, and the remainder is 1e-08.