116611 divided by 66 
Our goal is to divide 116611 by 66.

Advancing to step 1:
When dividing 1 by 66, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 66

On to step 2:
If we divide 11 by 66, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 66

On to step 3:
66 can be fit into 116 1 times, resulting in a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 66 from 116 to get 50.
Append the next digit (6) from the dividend to 50 and continue with: 506 / 66

Moving on to step 4:
66 goes into 506 7 times with a remainder of 44.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 462 from 506 and we're left with 44.
Include the next digit (1) from the dividend after 44, then repeat: 441 / 66

Going ahead to step 5:
66 goes into 441 6 times with a remainder of 45.
The number 6 becomes the next digit in our result. 
Result so far: 176.0
If we subtract 396 from 441, we get 45.
Take the next digit (1) from the dividend and append it to 45, then repeat: 451 / 66

Moving on to step 6:
The number 66 fits into 451 6 times, leaving a remainder of 55.
The number 6 becomes the next digit in our result. 
Result so far: 1766.0
Subtracting 396 from 451 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
550 divided by 66 is 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 1766.8
Subtract 528 from 550 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
The number 66 fits into 220 3 times, leaving a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 1766.83
Deduct 198 from 220 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
66 can be fit into 220 3 times, resulting in a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 1766.833
The remainder is 22 after subtracting 198 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final outcome is 1766.833, with a leftover of 0.0022.