We look at the division of 645725 by 81 
We want to divide 645725 by 81.

Let's proceed to 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
If we take 0 away from 6, we end up with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 81

Step 2:
If we divide 64 by 81, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 81

Step 3:
If we divide 645 by 81, we get 7 and a remainder of 78.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 567 from 645 leaves us with 78.
Grab the next digit (7) from the dividend, add it to 78, then carry on: 787 / 81

Advancing to step 4:
If we divide 787 by 81, we get 9 and a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
If we take 729 away from 787, we end up with 58.
Include the next digit (2) from the dividend after 58, then repeat: 582 / 81

On to step 5:
If we divide 582 by 81, we get 7 and a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 797.0
If we subtract 567 from 582, we get 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 81

Moving on to step 6:
When dividing 155 by 81, we get 1 with a remainder of 74.
Put 1 as the next digit of the answer. 
Result so far: 7971.0
The remainder is 74 after subtracting 81 from 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 7:
81 goes into 740 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 7971.9
If we subtract 729 from 740, we 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.

Moving on to step 8:
The number 81 fits into 110 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 7971.91
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.

Let's proceed to step 9:
290 divided by 81 is 3 with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 7971.913
The remainder is 47 after subtracting 243 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 10:
When dividing 470 by 81, we get 5 with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 7971.9135
Subtracting 405 from 470 leaves us 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.

On to step 11:
If we divide 650 by 81, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 7971.91358
If we subtract 648 from 650, we 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.

Let's proceed to step 12:
When dividing 20 by 81, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 7971.91358
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
81 can be fit into 200 2 times, resulting in a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 7971.9135802
The remainder is 38 after subtracting 162 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 14:
When dividing 380 by 81, we get 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 7971.91358024
Deduct 324 from 380 and we're left 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.

Our division results in 7971.91358024 with a remaining 5.6e-08.