We look at the division of 114165 by 61 
We want to divide 114165 by 61.

On to step 1:
When dividing 1 by 61, we get 0 with a remainder of 1.
The next digit of our result is 0. 
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 / 61

Advancing to step 2:
61 goes into 11 0 times with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 61

Step 3:
If we divide 114 by 61, we get 1 and a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 61 from 114, we get 53.
Grab the next digit (1) from the dividend, add it to 53, then carry on: 531 / 61

Moving on to step 4:
61 can be fit into 531 8 times, resulting in a remainder of 43.
Write down 8 as next digit of the result. 
Result so far: 18.0
Subtracting 488 from 531 leaves us with 43.
Bring next digit (6) of the dividend behind the 43 and repeat the process: 436 / 61

On to step 5:
The number 61 fits into 436 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 187.0
The remainder is 9 after subtracting 427 from 436.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 61

Moving on to step 6:
61 can be fit into 95 1 times, resulting in a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 1871.0
The remainder is 34 after subtracting 61 from 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
61 can be fit into 340 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 1871.5
If we subtract 305 from 340, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
350 divided by 61 is 5 with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 1871.55
The remainder is 45 after subtracting 305 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final outcome is 1871.55, with a leftover of 0.045.