We look at the division of 350965 by 15 
Let's see how many times 15 fits into 350965.

Moving on to step 1:
15 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 15

On to step 2:
When dividing 35 by 15, we get 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 30 from 35 leaves us with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 15

On to step 3:
15 goes into 50 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
The remainder is 5 after subtracting 45 from 50.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 15

Let's proceed to step 4:
15 can be fit into 59 3 times, resulting in a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 233.0
Subtracting 45 from 59 leaves us with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 15

On to step 5:
15 goes into 146 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 2339.0
Subtract 135 from 146 to get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 15

On to step 6:
15 can be fit into 115 7 times, resulting in a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 23397.0
Deduct 105 from 115 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.

Moving on to step 7:
If we divide 100 by 15, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 23397.6
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.

Going ahead to step 8:
100 divided by 15 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 23397.66
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.

The quotient of the division is 23397.66, and the remainder is 0.01.