We're dividing 825513 by 81 
Let's see how many times 81 fits into 825513.

Moving on to step 1:
8 divided by 81 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 81

Step 2:
81 goes into 82 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 81 from 82 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 81

Advancing to step 3:
When dividing 15 by 81, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 15, we end up with 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 81

On to step 4:
81 goes into 155 1 times with a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Subtract 81 from 155 to get 74.
Grab the next digit (1) from the dividend, add it to 74, then carry on: 741 / 81

Step 5:
The number 81 fits into 741 9 times, leaving a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 1019.0
Subtract 729 from 741 to get 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 81

Step 6:
81 goes into 123 1 times with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 10191.0
If we subtract 81 from 123, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
The number 81 fits into 420 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 10191.5
The remainder is 15 after subtracting 405 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
The number 81 fits into 150 1 times, leaving a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 10191.51
The remainder is 69 after subtracting 81 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 9:
When dividing 690 by 81, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 10191.518
Deduct 648 from 690 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 10:
81 can be fit into 420 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 10191.5185
Deduct 405 from 420 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 11:
If we divide 150 by 81, we get 1 and a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 10191.51851
Subtracting 81 from 150 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 12:
81 goes into 690 8 times with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 10191.518518
Subtract 648 from 690 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
The number 81 fits into 420 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 10191.5185185
Deduct 405 from 420 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
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: 10191.51851851
If we subtract 81 from 150, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

The final result is 10191.51851851 with a remainder of 6.9e-08.