Let's divide 769609 by 81
We're looking to find how many times 81 goes into 769609.

Advancing to step 1:
When dividing 7 by 81, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 81

Advancing to step 2:
The number 81 fits into 76 0 times, leaving a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 76, we end up with 76.
Include the next digit (9) from the dividend after 76, then repeat: 769 / 81

Going ahead to step 3:
81 can be fit into 769 9 times, resulting in a remainder of 40.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 40 after subtracting 729 from 769.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 81

Going ahead to step 4:
The number 81 fits into 406 5 times, leaving a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtracting 405 from 406 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 81

On to step 5:
81 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 950.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 81

Step 6:
81 can be fit into 109 1 times, resulting in a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 9501.0
The remainder is 28 after subtracting 81 from 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 7:
When dividing 280 by 81, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 9501.3
If we take 243 away from 280, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 8:
When dividing 370 by 81, we get 4 with a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 9501.34
If we take 324 away from 370, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 9:
460 divided by 81 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 9501.345
Subtracting 405 from 460 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
550 divided by 81 is 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 9501.3456
Deduct 486 from 550 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
81 can be fit into 640 7 times, resulting in a remainder of 73.
Write down 7 as next digit of the result. 
Result so far: 9501.34567
If we subtract 567 from 640, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 12:
The number 81 fits into 730 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 9501.345679
The remainder is 1 after subtracting 729 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 13:
When dividing 10 by 81, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 9501.345679
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
81 can be fit into 100 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 9501.34567901
Deduct 81 from 100 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 9501.34567901 with a balance of 1.9e-08.