We divide 663435 by 45
We're looking to find how many times 45 goes into 663435.

Moving on to step 1:
If we divide 6 by 45, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 45

Step 2:
If we divide 66 by 45, we get 1 and a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 66, we end up with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 45

On to step 3:
If we divide 213 by 45, we get 4 and a remainder of 33.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 180 from 213 to get 33.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 45

Let's proceed to step 4:
45 can be fit into 334 7 times, resulting in a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 147.0
Deduct 315 from 334 and we're left with 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 45

Going ahead to step 5:
When dividing 193 by 45, we get 4 with a remainder of 13.
The next digit of our result is 4. 
Result so far: 1474.0
If we subtract 180 from 193, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 45

Advancing to step 6:
When dividing 135 by 45, we get 3 with a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 14743.0
If we subtract 135 from 135, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
If we divide 0 by 45, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 14743.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
45 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 14743.0
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 14743.0, and the remainder is 0.0.