We divide 521684 by 81
Our goal is to divide 521684 by 81.

Let's proceed to step 1:
5 divided by 81 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 81

Step 2:
52 divided by 81 is 0 with a remainder of 52.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Fetch the next digit (1) from the dividend, attach it to 52 and continue: 521 / 81

Going ahead to step 3:
The number 81 fits into 521 6 times, leaving a remainder of 35.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 486 from 521 to get 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 81

Moving on to step 4:
81 can be fit into 356 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
Subtract 324 from 356 to get 32.
Take the next digit (8) from the dividend and append it to 32, then repeat: 328 / 81

Moving on to step 5:
328 divided by 81 is 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 644.0
Deduct 324 from 328 and we're left with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 81

Step 6:
81 goes into 44 0 times with a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 6440.0
Subtract 0 from 44 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
81 goes into 440 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6440.5
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
When dividing 350 by 81, we get 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 6440.54
If we subtract 324 from 350, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
If we divide 260 by 81, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 6440.543
If we take 243 away from 260, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
81 goes into 170 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6440.5432
Deduct 162 from 170 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
81 goes into 80 0 times with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 6440.5432
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 12:
81 can be fit into 800 9 times, resulting in a remainder of 71.
The number 9 becomes the next digit in our result. 
Result so far: 6440.543209
Subtract 729 from 800 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 13:
The number 81 fits into 710 8 times, leaving a remainder of 62.
The next digit of our result is 8. 
Result so far: 6440.5432098
Subtract 648 from 710 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 14:
81 can be fit into 620 7 times, resulting in a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 6440.54320987
Deduct 567 from 620 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The quotient of the division is 6440.54320987, and the remainder is 5.3e-08.