We're dividing 355923 by 66 
We're looking to find how many times 66 goes into 355923.

Step 1:
66 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 66

On to step 2:
The number 66 fits into 35 0 times, leaving a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 35, we get 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 66

Advancing to step 3:
The number 66 fits into 355 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 330 away from 355, we end up with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 66

Let's proceed to step 4:
66 can be fit into 259 3 times, resulting in a remainder of 61.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
If we subtract 198 from 259, we get 61.
Bring next digit (2) of the dividend behind the 61 and repeat the process: 612 / 66

Moving on to step 5:
If we divide 612 by 66, we get 9 and a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 539.0
Subtracting 594 from 612 leaves us with 18.
Append the next digit (3) from the dividend to 18 and continue with: 183 / 66

Advancing to step 6:
If we divide 183 by 66, we get 2 and a remainder of 51.
Write down 2 as next digit of the result. 
Result so far: 5392.0
The remainder is 51 after subtracting 132 from 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing 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: 5392.7
If we take 462 away from 510, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 8:
66 can be fit into 480 7 times, resulting in a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 5392.77
The remainder is 18 after subtracting 462 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 5392.77 with a remaining 0.018.