We're dividing 776 by 89 
We want to figure out the number of times 776 can be divided by 89.

Advancing to step 1:
7 divided by 89 is 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.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 89

Going ahead to step 2:
The number 89 fits into 77 0 times, leaving a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Bring next digit (6) of the dividend behind the 77 and repeat the process: 776 / 89

Advancing to step 3:
89 goes into 776 8 times with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 712 from 776 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 4:
640 divided by 89 is 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 8.7
Subtract 623 from 640 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 5:
When dividing 170 by 89, we get 1 with a remainder of 81.
Put 1 as the next digit of the answer. 
Result so far: 8.71
Deduct 89 from 170 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Moving on to step 6:
89 can be fit into 810 9 times, resulting in a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 8.719
Subtract 801 from 810 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
If we divide 90 by 89, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 8.7191
Subtracting 89 from 90 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
The number 89 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8.7191
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
89 goes into 100 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 8.719101
Deduct 89 from 100 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.

Advancing to step 10:
89 goes into 110 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 8.7191011
If we take 89 away from 110, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

In conclusion, the division gives 8.7191011 with a balance of 2.1e-07.