We're dividing 681111 by 80 
We want to figure out the number of times 681111 can be divided by 80.

Step 1:
When dividing 6 by 80, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 80

Going ahead to step 2:
80 goes into 68 0 times with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Bring next digit (1) of the dividend behind the 68 and repeat the process: 681 / 80

Let's proceed to step 3:
When dividing 681 by 80, we get 8 with a remainder of 41.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 640 away from 681, we end up with 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 80

Step 4:
The number 80 fits into 411 5 times, leaving a remainder of 11.
The next digit of our result is 5. 
Result so far: 85.0
Subtract 400 from 411 to get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 80

Let's proceed to step 5:
80 goes into 111 1 times with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 851.0
Subtracting 80 from 111 leaves us with 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 80

Let's proceed to step 6:
When dividing 311 by 80, we get 3 with a remainder of 71.
Write down 3 as next digit of the result. 
Result so far: 8513.0
If we take 240 away from 311, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 7:
710 divided by 80 is 8 with a remainder of 70.
Use 8 as the next digit of our solution. 
Result so far: 8513.8
The remainder is 70 after subtracting 640 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
80 goes into 700 8 times with a remainder of 60.
Record the quotient 8 as the next digit in the result. 
Result so far: 8513.88
Subtract 640 from 700 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

After the division, we end up with 8513.88 and a remainder of 0.06.