We look at the division of 684370 by 81 
Our goal is to divide 684370 by 81.

On to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 81

Let's proceed to step 2:
If we divide 68 by 81, we get 0 and a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Fetch the next digit (4) from the dividend, attach it to 68 and continue: 684 / 81

Moving on to step 3:
81 can be fit into 684 8 times, resulting in a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 648 from 684 to get 36.
Bring next digit (3) of the dividend behind the 36 and repeat the process: 363 / 81

Let's proceed to step 4:
The number 81 fits into 363 4 times, leaving a remainder of 39.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
The remainder is 39 after subtracting 324 from 363.
Take the next digit (7) from the dividend and append it to 39, then repeat: 397 / 81

Advancing to step 5:
When dividing 397 by 81, we get 4 with a remainder of 73.
The number 4 becomes the next digit in our result. 
Result so far: 844.0
Deduct 324 from 397 and we're left with 73.
Grab the next digit (0) from the dividend, add it to 73, then carry on: 730 / 81

Let's proceed to step 6:
81 can be fit into 730 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 8449.0
If we subtract 729 from 730, we 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.

Step 7:
When dividing 10 by 81, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8449.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 81, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 8449.01
Deduct 81 from 100 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
When dividing 190 by 81, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 8449.012
If we subtract 162 from 190, we get 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 10:
81 can be fit into 280 3 times, resulting in a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 8449.0123
Subtracting 243 from 280 leaves us 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 11:
The number 81 fits into 370 4 times, leaving a remainder of 46.
The next digit of our result is 4. 
Result so far: 8449.01234
The remainder is 46 after subtracting 324 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 12:
81 goes into 460 5 times with a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 8449.012345
Subtract 405 from 460 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 13:
81 goes into 550 6 times with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 8449.0123456
Subtract 486 from 550 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 14:
81 goes into 640 7 times with a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 8449.01234567
Subtracting 567 from 640 leaves us with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Our division results in 8449.01234567 with a remaining 7.3e-08.