114066 divided by 86 
We want to figure out the number of times 114066 can be divided by 86.

Step 1:
1 divided by 86 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 86

Let's proceed to step 2:
When dividing 11 by 86, we get 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 86

Moving on to step 3:
86 goes into 114 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 86 away from 114, we end up with 28.
Include the next digit (0) from the dividend after 28, then repeat: 280 / 86

On to step 4:
When dividing 280 by 86, we get 3 with a remainder of 22.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 258 from 280 to get 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 86

Step 5:
226 divided by 86 is 2 with a remainder of 54.
Write down 2 as next digit of the result. 
Result so far: 132.0
Deduct 172 from 226 and we're left with 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 86

Let's proceed to step 6:
546 divided by 86 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 1326.0
Deduct 516 from 546 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
The number 86 fits into 300 3 times, leaving a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 1326.3
Subtract 258 from 300 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
420 divided by 86 is 4 with a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 1326.34
If we subtract 344 from 420, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 9:
If we divide 760 by 86, we get 8 and a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 1326.348
Subtract 688 from 760 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 10:
The number 86 fits into 720 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 1326.3488
If we take 688 away from 720, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 1326.3488 with a balance of 0.00032.