967889 divided by 11 
Our goal is to divide 967889 by 11.

Let's proceed to step 1:
9 divided by 11 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 11

On to step 2:
When dividing 96 by 11, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 8 after subtracting 88 from 96.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 11

Let's proceed to step 3:
The number 11 fits into 87 7 times, leaving a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
If we subtract 77 from 87, we get 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 11

Let's proceed to step 4:
11 can be fit into 108 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 879.0
The remainder is 9 after subtracting 99 from 108.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 11

Going ahead to step 5:
If we divide 98 by 11, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 8798.0
If we subtract 88 from 98, we get 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 11

Going ahead to step 6:
11 can be fit into 109 9 times, resulting in a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 87989.0
If we take 99 away from 109, 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 7:
The number 11 fits into 100 9 times, leaving a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 87989.9
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.

On to step 8:
The number 11 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 87989.9
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.

Let's proceed to step 9:
11 can be fit into 100 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 87989.909
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.

Step 10:
11 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 87989.909
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 11:
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: 87989.90909
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.

Step 12:
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: 87989.90909
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.

Going ahead to step 13:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 87989.9090909
If we subtract 99 from 100, 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.

On to step 14:
11 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 87989.9090909
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.

In conclusion, the division gives 87989.9090909 with a balance of 1e-08.