781971 ÷ 11 
Let's see how many times 11 fits into 781971.

Let's proceed to step 1:
7 divided by 11 is 0 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.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 11

Let's proceed to step 2:
78 divided by 11 is 7 with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 77 from 78 and we're left with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 11

On to step 3:
11 goes into 11 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 71.0
Subtracting 11 from 11 leaves us with 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 11

Advancing to step 4:
When dividing 9 by 11, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 710.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 11

On to step 5:
When dividing 97 by 11, we get 8 with a remainder of 9.
The next digit of our result is 8. 
Result so far: 7108.0
Subtracting 88 from 97 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 11

Going ahead to step 6:
When dividing 91 by 11, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 71088.0
If we subtract 88 from 91, 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.

Advancing to step 7:
If we divide 30 by 11, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 71088.2
Subtract 22 from 30 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
When dividing 80 by 11, we get 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 71088.27
Subtract 77 from 80 to 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.

Moving on to step 9:
When dividing 30 by 11, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 71088.272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 71088.2727
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
30 divided by 11 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 71088.27272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
80 divided by 11 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 71088.272727
Deduct 77 from 80 and we're left 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.

Step 13:
If we divide 30 by 11, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 71088.2727272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 71088.27272727
Subtract 77 from 80 to 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 quotient of the division is 71088.27272727, and the remainder is 3e-09.