We look at the division of 3223 by 15 
We're looking to find how many times 15 goes into 3223.

Advancing to step 1:
3 divided by 15 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 15

Advancing to step 2:
32 divided by 15 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 2 after subtracting 30 from 32.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 15

Let's proceed to step 3:
If we divide 22 by 15, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtracting 15 from 22 leaves us with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 15

Let's proceed to step 4:
When dividing 73 by 15, we get 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 214.0
If we subtract 60 from 73, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 5:
130 divided by 15 is 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 214.8
The remainder is 10 after subtracting 120 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 6:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 214.86
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 214.866
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 214.866 with a remaining 0.001.