776997 ÷ 11 
We're looking to find how many times 11 goes into 776997.

Advancing to step 1:
If we divide 7 by 11, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 11

On to step 2:
11 goes into 77 7 times with a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 77 from 77 to get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 11

Advancing to step 3:
11 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 70.0
Subtract 0 from 6 to get 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 11

Step 4:
The number 11 fits into 69 6 times, leaving a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 706.0
Subtract 66 from 69 to get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 11

Let's proceed to step 5:
39 divided by 11 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 7063.0
If we subtract 33 from 39, we get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 11

On to step 6:
11 goes into 67 6 times with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 70636.0
If we subtract 66 from 67, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 70636.0
Subtracting 0 from 10 leaves us 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.

Advancing to step 8:
11 can be fit into 100 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 70636.09
Deduct 99 from 100 and we're left 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.

Moving on to step 9:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 70636.09
If we take 0 away from 10, we end up 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.

On to step 10:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 70636.0909
Deduct 99 from 100 and we're left 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 11:
The number 11 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 70636.0909
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.

Moving on to step 12:
If we divide 100 by 11, we get 9 and a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 70636.090909
Subtract 99 from 100 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 70636.090909
Subtracting 0 from 10 leaves us 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.

On to step 14:
100 divided by 11 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 70636.09090909
Subtracting 99 from 100 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.

The quotient of the division is 70636.09090909, and the remainder is 1e-09.