Let's divide 825005 by 81
We're looking to find how many times 81 goes into 825005.

On to step 1:
If we divide 8 by 81, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 81

Step 2:
81 can be fit into 82 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 81 from 82, we get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 81

On to step 3:
The number 81 fits into 15 0 times, leaving a remainder of 15.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 81

Going ahead to step 4:
The number 81 fits into 150 1 times, leaving a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Deduct 81 from 150 and we're left with 69.
Fetch the next digit (0) from the dividend, attach it to 69 and continue: 690 / 81

On to step 5:
81 goes into 690 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 1018.0
Subtracting 648 from 690 leaves us with 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 81

Moving on to step 6:
If we divide 425 by 81, we get 5 and a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 10185.0
If we take 405 away from 425, we end up 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.

Step 7:
If we divide 200 by 81, we get 2 and a remainder of 38.
The next digit of our result is 2. 
Result so far: 10185.2
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.

Step 8:
If we divide 380 by 81, we get 4 and a remainder of 56.
The next digit of our result is 4. 
Result so far: 10185.24
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.

Let's proceed to step 9:
When dividing 560 by 81, we get 6 with a remainder of 74.
Record the quotient 6 as the next digit in the result. 
Result so far: 10185.246
Subtracting 486 from 560 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 10:
When dividing 740 by 81, we get 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 10185.2469
The remainder is 11 after subtracting 729 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 11:
If we divide 110 by 81, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 10185.24691
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.

Going ahead to step 12:
290 divided by 81 is 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 10185.246913
Subtracting 243 from 290 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 13:
The number 81 fits into 470 5 times, leaving a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 10185.2469135
If we take 405 away from 470, we end up 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 14:
If we divide 650 by 81, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 10185.24691358
Subtracting 648 from 650 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 10185.24691358 with a remaining 2e-09.