We're dividing 771671 by 11 
Our goal is to divide 771671 by 11.

Let's proceed to step 1:
The number 11 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 11

On to step 2:
If we divide 77 by 11, we get 7 and a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 77 from 77 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 11

Step 3:
When dividing 1 by 11, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 70.0
If we subtract 0 from 1, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 11

Step 4:
If we divide 16 by 11, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 701.0
If we take 11 away from 16, we end up with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 11

On to step 5:
If we divide 57 by 11, we get 5 and a remainder of 2.
The next digit of our result is 5. 
Result so far: 7015.0
Deduct 55 from 57 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 11

Moving on to step 6:
When dividing 21 by 11, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 70151.0
Subtract 11 from 21 to 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 7:
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: 70151.9
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.

Moving on to step 8:
If we divide 10 by 11, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 70151.9
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.

Let's proceed to step 9:
100 divided by 11 is 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 70151.909
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.

Going ahead to step 10:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 70151.909
Subtract 0 from 10 to 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.

Advancing to step 11:
When dividing 100 by 11, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 70151.90909
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.

Going ahead to step 12:
11 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 70151.90909
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.

Going ahead to step 13:
If we divide 100 by 11, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 70151.9090909
The remainder is 1 after subtracting 99 from 100.
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 14:
If we divide 10 by 11, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 70151.9090909
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.

The final result is 70151.9090909 with a remainder of 1e-08.