86644 ÷ 11 
Our goal is to divide 86644 by 11.

On to step 1:
11 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 11

Moving on to step 2:
86 divided by 11 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 77 from 86 leaves us with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 11

Going ahead to step 3:
11 can be fit into 96 8 times, resulting in a remainder of 8.
The next digit of our result is 8. 
Result so far: 78.0
If we subtract 88 from 96, we get 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 11

Step 4:
11 can be fit into 84 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 787.0
Deduct 77 from 84 and we're left with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 11

Going ahead to step 5:
11 can be fit into 74 6 times, resulting in a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 7876.0
The remainder is 8 after subtracting 66 from 74.
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 6:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 7876.7
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.

Let's proceed to step 7:
11 can be fit into 30 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 7876.72
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.

Advancing to step 8:
80 divided by 11 is 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7876.727
If we subtract 77 from 80, 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.

On to step 9:
When dividing 30 by 11, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7876.7272
If we subtract 22 from 30, we 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.

Going ahead to step 10:
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: 7876.72727
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.

On to step 11:
If we divide 30 by 11, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7876.727272
Subtracting 22 from 30 leaves us with 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 12:
If we divide 80 by 11, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7876.7272727
If we subtract 77 from 80, 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.

Moving on to step 13:
30 divided by 11 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7876.72727272
Deduct 22 from 30 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 7876.72727272 with a remaining 8e-09.