We divide 103666 by 55
We want to figure out the number of times 103666 can be divided by 55.

Let's proceed to step 1:
55 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 55

Advancing to step 2:
When dividing 10 by 55, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 55

Advancing to step 3:
55 goes into 103 1 times with a remainder of 48.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 55 away from 103, we end up with 48.
Bring next digit (6) of the dividend behind the 48 and repeat the process: 486 / 55

On to step 4:
486 divided by 55 is 8 with a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 440 from 486, we get 46.
Take the next digit (6) from the dividend and append it to 46, then repeat: 466 / 55

On to step 5:
55 goes into 466 8 times with a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 188.0
Subtracting 440 from 466 leaves us with 26.
Include the next digit (6) from the dividend after 26, then repeat: 266 / 55

Step 6:
If we divide 266 by 55, we get 4 and a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 1884.0
The remainder is 46 after subtracting 220 from 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 7:
The number 55 fits into 460 8 times, leaving a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 1884.8
Subtract 440 from 460 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 55, we get 3 and a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 1884.83
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
The number 55 fits into 350 6 times, leaving a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1884.836
If we take 330 away from 350, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
200 divided by 55 is 3 with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 1884.8363
If we take 165 away from 200, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 11:
350 divided by 55 is 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 1884.83636
Deduct 330 from 350 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
The number 55 fits into 200 3 times, leaving a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 1884.836363
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 13:
If we divide 350 by 55, we get 6 and a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 1884.8363636
If we subtract 330 from 350, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
55 can be fit into 200 3 times, resulting in a remainder of 35.
Use 3 as the next digit of our solution. 
Result so far: 1884.83636363
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 1884.83636363 with a balance of 3.5e-08.