We're dividing 353065 by 15 
We want to figure out the number of times 353065 can be divided by 15.

On to step 1:
When dividing 3 by 15, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 15

On to step 2:
The number 15 fits into 35 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 5 after subtracting 30 from 35.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 15

Moving on to step 3:
The number 15 fits into 53 3 times, leaving a remainder of 8.
The next digit of our result is 3. 
Result so far: 23.0
Deduct 45 from 53 and we're left with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 15

Going ahead to step 4:
15 goes into 80 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 235.0
If we subtract 75 from 80, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 15

Advancing to step 5:
The number 15 fits into 56 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 2353.0
Subtracting 45 from 56 leaves us with 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 15

On to step 6:
When dividing 115 by 15, we get 7 with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 23537.0
If we take 105 away from 115, we end up 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.

Going ahead to step 7:
15 goes into 100 6 times with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 23537.6
Subtract 90 from 100 to 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.

On to step 8:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 23537.66
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.

In conclusion, the division gives 23537.66 with a balance of 0.01.