We look at the division of 657657 by 81 
Let's see how many times 81 fits into 657657.

Step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 81

Advancing to step 2:
If we divide 65 by 81, we get 0 and a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Include the next digit (7) from the dividend after 65, then repeat: 657 / 81

On to step 3:
657 divided by 81 is 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 648 from 657 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 81

Step 4:
If we divide 96 by 81, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 81.0
If we take 81 away from 96, we end up with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 81

On to step 5:
If we divide 155 by 81, we get 1 and a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 811.0
Subtract 81 from 155 to get 74.
Grab the next digit (7) from the dividend, add it to 74, then carry on: 747 / 81

Going ahead to step 6:
747 divided by 81 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 8119.0
If we take 729 away from 747, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
When dividing 180 by 81, we get 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 8119.2
If we take 162 away from 180, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
81 can be fit into 180 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 8119.22
Subtract 162 from 180 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 8119.22 and a remainder of 0.018.