We're dividing 115089 by 66 
Our goal is to divide 115089 by 66.

Moving on to step 1:
When dividing 1 by 66, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 66

Advancing to step 2:
If we divide 11 by 66, we get 0 and 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.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 66

Advancing to step 3:
66 can be fit into 115 1 times, resulting in a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 49 after subtracting 66 from 115.
Fetch the next digit (0) from the dividend, attach it to 49 and continue: 490 / 66

Going ahead to step 4:
66 goes into 490 7 times with a remainder of 28.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
The remainder is 28 after subtracting 462 from 490.
Fetch the next digit (8) from the dividend, attach it to 28 and continue: 288 / 66

Moving on to step 5:
The number 66 fits into 288 4 times, leaving a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 174.0
If we subtract 264 from 288, we get 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 66

Advancing to step 6:
249 divided by 66 is 3 with a remainder of 51.
The next digit of our result is 3. 
Result so far: 1743.0
Subtracting 198 from 249 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 7:
66 can be fit into 510 7 times, resulting in a remainder of 48.
Use 7 as the next digit of our solution. 
Result so far: 1743.7
Subtract 462 from 510 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
66 can be fit into 480 7 times, resulting in a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 1743.77
Deduct 462 from 480 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 1743.77 with a remainder of 0.018.