We look at the division of 546689 by 81 
Our goal is to divide 546689 by 81.

Advancing to step 1:
If we divide 5 by 81, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 81

Advancing to step 2:
The number 81 fits into 54 0 times, leaving a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 54 to get 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 81

Let's proceed to step 3:
81 can be fit into 546 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 486 away from 546, we end up with 60.
Take the next digit (6) from the dividend and append it to 60, then repeat: 606 / 81

On to step 4:
If we divide 606 by 81, we get 7 and a remainder of 39.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtracting 567 from 606 leaves us with 39.
Fetch the next digit (8) from the dividend, attach it to 39 and continue: 398 / 81

Moving on to step 5:
The number 81 fits into 398 4 times, leaving a remainder of 74.
The next digit of our result is 4. 
Result so far: 674.0
If we take 324 away from 398, we end up with 74.
Append the next digit (9) from the dividend to 74 and continue with: 749 / 81

Advancing to step 6:
81 goes into 749 9 times with a remainder of 20.
The next digit of our result is 9. 
Result so far: 6749.0
If we subtract 729 from 749, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
81 goes into 200 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 6749.2
Subtracting 162 from 200 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
The number 81 fits into 380 4 times, leaving a remainder of 56.
The next digit of our result is 4. 
Result so far: 6749.24
If we take 324 away from 380, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 9:
81 goes into 560 6 times with a remainder of 74.
The number 6 becomes the next digit in our result. 
Result so far: 6749.246
If we take 486 away from 560, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 10:
The number 81 fits into 740 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 6749.2469
Subtract 729 from 740 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
When dividing 110 by 81, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 6749.24691
If we take 81 away from 110, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
290 divided by 81 is 3 with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 6749.246913
Deduct 243 from 290 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 13:
81 can be fit into 470 5 times, resulting in a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 6749.2469135
If we take 405 away from 470, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 14:
The number 81 fits into 650 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 6749.24691358
Subtract 648 from 650 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 6749.24691358 with a remaining 2e-09.