3257 ÷ 15 
We want to divide 3257 by 15.

Step 1:
The number 15 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 15

Moving on to step 2:
If we divide 32 by 15, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 30 away from 32, we end up with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 15

Going ahead to step 3:
If we divide 25 by 15, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtract 15 from 25 to get 10.
Take the next digit (7) from the dividend and append it to 10, then repeat: 107 / 15

Let's proceed to step 4:
15 goes into 107 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 217.0
The remainder is 2 after subtracting 105 from 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 5:
15 can be fit into 20 1 times, resulting in a remainder of 5.
The next digit of our result is 1. 
Result so far: 217.1
If we subtract 15 from 20, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 217.13
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 217.133
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 217.133 with a balance of 0.0005.