We look at the division of 776378 by 81 
Let's see how many times 81 fits into 776378.

Moving on to step 1:
81 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 81

Advancing to step 2:
If we divide 77 by 81, we get 0 and a remainder of 77.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 77, we get 77.
Fetch the next digit (6) from the dividend, attach it to 77 and continue: 776 / 81

Step 3:
81 goes into 776 9 times with a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 9.0
Deduct 729 from 776 and we're left with 47.
Append the next digit (3) from the dividend to 47 and continue with: 473 / 81

Moving on to step 4:
81 goes into 473 5 times with a remainder of 68.
The next digit of our result is 5. 
Result so far: 95.0
Deduct 405 from 473 and we're left with 68.
Grab the next digit (7) from the dividend, add it to 68, then carry on: 687 / 81

Moving on to step 5:
81 can be fit into 687 8 times, resulting in a remainder of 39.
Record the quotient 8 as the next digit in the result. 
Result so far: 958.0
The remainder is 39 after subtracting 648 from 687.
Take the next digit (8) from the dividend and append it to 39, then repeat: 398 / 81

Step 6:
If we divide 398 by 81, we get 4 and a remainder of 74.
Put 4 as the next digit of the answer. 
Result so far: 9584.0
Subtract 324 from 398 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.

Moving on to step 7:
740 divided by 81 is 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 9584.9
If we take 729 away from 740, we end up 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.

Advancing to step 8:
81 can be fit into 110 1 times, resulting in a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 9584.91
If we subtract 81 from 110, we 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 9:
When dividing 290 by 81, we get 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 9584.913
The remainder is 47 after subtracting 243 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 10:
81 goes into 470 5 times with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 9584.9135
If we subtract 405 from 470, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 11:
The number 81 fits into 650 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 9584.91358
Deduct 648 from 650 and we're left 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.

Step 12:
The number 81 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 9584.91358
The remainder is 20 after subtracting 0 from 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 13:
81 goes into 200 2 times with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 9584.9135802
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.

Advancing to step 14:
If we divide 380 by 81, we get 4 and a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 9584.91358024
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.

Our division results in 9584.91358024 with a remaining 5.6e-08.