We're dividing 114002 by 61 
We're looking to find how many times 61 goes into 114002.

On to step 1:
61 goes into 1 0 times 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.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 61

Advancing to step 2:
11 divided by 61 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 61

Going ahead to step 3:
When dividing 114 by 61, we get 1 with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 61 from 114 and we're left with 53.
Fetch the next digit (0) from the dividend, attach it to 53 and continue: 530 / 61

Let's proceed to step 4:
61 can be fit into 530 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 488 from 530 and we're left with 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 61

Step 5:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 186.0
Subtracting 366 from 420 leaves us with 54.
Fetch the next digit (2) from the dividend, attach it to 54 and continue: 542 / 61

Step 6:
542 divided by 61 is 8 with a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 1868.0
If we subtract 488 from 542, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
540 divided by 61 is 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 1868.8
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 8:
The number 61 fits into 520 8 times, leaving a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1868.88
Deduct 488 from 520 and we're left 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 1868.88 with a balance of 0.032.