We look at the division of 665701 by 81 
We want to divide 665701 by 81.

Moving on to step 1:
6 divided by 81 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 81

Step 2:
When dividing 66 by 81, we get 0 with a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Grab the next digit (5) from the dividend, add it to 66, then carry on: 665 / 81

Step 3:
When dividing 665 by 81, we get 8 with a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 17 after subtracting 648 from 665.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 81

Advancing to step 4:
The number 81 fits into 177 2 times, leaving a remainder of 15.
The next digit of our result is 2. 
Result so far: 82.0
If we take 162 away from 177, we end up with 15.
Include the next digit (0) from the dividend after 15, then repeat: 150 / 81

On to step 5:
81 can be fit into 150 1 times, resulting in a remainder of 69.
Write down 1 as next digit of the result. 
Result so far: 821.0
The remainder is 69 after subtracting 81 from 150.
Append the next digit (1) from the dividend to 69 and continue with: 691 / 81

Step 6:
81 can be fit into 691 8 times, resulting in a remainder of 43.
Use 8 as the next digit of our solution. 
Result so far: 8218.0
Subtracting 648 from 691 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
430 divided by 81 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 8218.5
If we subtract 405 from 430, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
The number 81 fits into 250 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 8218.53
Deduct 243 from 250 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
70 divided by 81 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 8218.53
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 10:
81 goes into 700 8 times with a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 8218.5308
Subtract 648 from 700 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 11:
520 divided by 81 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 8218.53086
Subtracting 486 from 520 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 12:
The number 81 fits into 340 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 8218.530864
Deduct 324 from 340 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
160 divided by 81 is 1 with a remainder of 79.
Put 1 as the next digit of the answer. 
Result so far: 8218.5308641
If we take 81 away from 160, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 14:
When dividing 790 by 81, we get 9 with a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 8218.53086419
If we take 729 away from 790, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The quotient of the division is 8218.53086419, and the remainder is 6.1e-08.