8364 divided by 11 
Let's see how many times 11 fits into 8364.

Going ahead to step 1:
11 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 11

On to step 2:
If we divide 83 by 11, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 77 from 83, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 11

Step 3:
11 goes into 66 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 76.0
The remainder is 0 after subtracting 66 from 66.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 11

Moving on to step 4:
11 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 760.0
If we take 0 away from 4, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 5:
11 goes into 40 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 760.3
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
When dividing 70 by 11, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 760.36
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 760.363
Deduct 33 from 40 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 760.3636
Deduct 66 from 70 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
When dividing 40 by 11, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 760.36363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 10:
When dividing 70 by 11, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 760.363636
Subtracting 66 from 70 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 760.3636363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 760.36363636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 760.36363636 with a balance of 4e-09.