We're dividing 776172 by 81 
Our goal is to divide 776172 by 81.

Step 1:
81 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 81

Step 2:
If we divide 77 by 81, we get 0 and a remainder of 77.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 77, we end up with 77.
Take the next digit (6) from the dividend and append it to 77, then repeat: 776 / 81

Moving on to step 3:
81 goes into 776 9 times with a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 729 from 776, we get 47.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 81

Moving on to step 4:
81 can be fit into 471 5 times, resulting in a remainder of 66.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Deduct 405 from 471 and we're left with 66.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 81

Step 5:
When dividing 667 by 81, we get 8 with a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 958.0
Deduct 648 from 667 and we're left with 19.
Bring next digit (2) of the dividend behind the 19 and repeat the process: 192 / 81

Let's proceed to step 6:
81 goes into 192 2 times with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 9582.0
If we subtract 162 from 192, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
If we divide 300 by 81, we get 3 and a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 9582.3
The remainder is 57 after subtracting 243 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 8:
81 can be fit into 570 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 9582.37
If we take 567 away from 570, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
81 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 9582.37
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
81 can be fit into 300 3 times, resulting in a remainder of 57.
The next digit of our result is 3. 
Result so far: 9582.3703
Deduct 243 from 300 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 11:
The number 81 fits into 570 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 9582.37037
The remainder is 3 after subtracting 567 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 12:
81 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 9582.37037
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
If we divide 300 by 81, we get 3 and a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 9582.3703703
Subtracting 243 from 300 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 14:
When dividing 570 by 81, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 9582.37037037
If we subtract 567 from 570, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 9582.37037037, with a leftover of 3e-09.