68581 divided by 11 
We want to figure out the number of times 68581 can be divided by 11.

On to step 1:
11 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 11

On to step 2:
When dividing 68 by 11, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 66 from 68 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 11

Moving on to step 3:
If we divide 25 by 11, we get 2 and a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we take 22 away from 25, we end up with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 11

On to step 4:
38 divided by 11 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 623.0
The remainder is 5 after subtracting 33 from 38.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 11

Step 5:
If we divide 51 by 11, we get 4 and a remainder of 7.
The next digit of our result is 4. 
Result so far: 6234.0
The remainder is 7 after subtracting 44 from 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
70 divided by 11 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6234.6
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.

Let's proceed to step 7:
40 divided by 11 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 6234.63
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 8:
The number 11 fits into 70 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6234.636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 6234.6363
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.

Going ahead to step 10:
70 divided by 11 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6234.63636
If we take 66 away from 70, 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.

Let's proceed to step 11:
If we divide 40 by 11, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 6234.636363
The remainder is 7 after subtracting 33 from 40.
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 12:
70 divided by 11 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 6234.6363636
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.

On to step 13:
The number 11 fits into 40 3 times, leaving a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 6234.63636363
If we take 33 away from 40, we end up 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.

The quotient of the division is 6234.63636363, and the remainder is 7e-09.