We're dividing 78509 by 81 
We want to divide 78509 by 81.

Advancing to step 1:
When dividing 7 by 81, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 81

Step 2:
If we divide 78 by 81, we get 0 and a remainder of 78.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 78, we end up with 78.
Bring next digit (5) of the dividend behind the 78 and repeat the process: 785 / 81

Let's proceed to step 3:
81 goes into 785 9 times with a remainder of 56.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 729 away from 785, we end up with 56.
Append the next digit (0) from the dividend to 56 and continue with: 560 / 81

Moving on to step 4:
81 can be fit into 560 6 times, resulting in a remainder of 74.
The next digit of our result is 6. 
Result so far: 96.0
If we subtract 486 from 560, we get 74.
Take the next digit (9) from the dividend and append it to 74, then repeat: 749 / 81

Going ahead to step 5:
81 goes into 749 9 times with a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 969.0
Deduct 729 from 749 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.

Moving on to step 6:
When dividing 200 by 81, we get 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 969.2
Deduct 162 from 200 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
81 goes into 380 4 times with a remainder of 56.
The next digit of our result is 4. 
Result so far: 969.24
If we subtract 324 from 380, we get 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 8:
The number 81 fits into 560 6 times, leaving a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 969.246
Subtract 486 from 560 to get 74.
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 9:
81 goes into 740 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 969.2469
Deduct 729 from 740 and we're left with 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 10:
110 divided by 81 is 1 with a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 969.24691
Subtract 81 from 110 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 11:
If we divide 290 by 81, we get 3 and a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 969.246913
Deduct 243 from 290 and we're left 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.

Step 12:
81 can be fit into 470 5 times, resulting in a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 969.2469135
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.

Moving on to step 13:
81 goes into 650 8 times with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 969.24691358
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.

The quotient of the division is 969.24691358, and the remainder is 2e-09.