We look at the division of 103312 by 66 
We're looking to find how many times 66 goes into 103312.

Let's proceed to step 1:
When dividing 1 by 66, 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 66

Going ahead to step 2:
10 divided by 66 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 66

Moving on to step 3:
When dividing 103 by 66, we get 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 66 from 103 and we're left with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 66

On to step 4:
373 divided by 66 is 5 with a remainder of 43.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 330 away from 373, we end up with 43.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 66

Let's proceed to step 5:
66 goes into 431 6 times with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 156.0
If we take 396 away from 431, we end up with 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 66

Moving on to step 6:
66 goes into 352 5 times with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 1565.0
If we subtract 330 from 352, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
66 can be fit into 220 3 times, resulting in a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 1565.3
If we take 198 away from 220, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
The number 66 fits into 220 3 times, leaving a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 1565.33
If we take 198 away from 220, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Our division results in 1565.33 with a remaining 0.022.