We look at the division of 963615 by 45 
Let's see how many times 45 fits into 963615.

Going ahead to step 1:
9 divided by 45 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 45

On to step 2:
If we divide 96 by 45, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 90 from 96 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 45

Advancing to step 3:
63 divided by 45 is 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 21.0
If we take 45 away from 63, we end up with 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 45

Going ahead to step 4:
If we divide 186 by 45, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 214.0
Subtract 180 from 186 to get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 45

Going ahead to step 5:
If we divide 61 by 45, we get 1 and a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 2141.0
If we subtract 45 from 61, we get 16.
Bring next digit (5) of the dividend behind the 16 and repeat the process: 165 / 45

Let's proceed to step 6:
45 can be fit into 165 3 times, resulting in a remainder of 30.
The number 3 becomes the next digit in our result. 
Result so far: 21413.0
If we take 135 away from 165, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
45 goes into 300 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 21413.6
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 45 is 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 21413.66
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 21413.66 and a remainder of 0.03.