633939 divided by 45 
We're looking to find how many times 45 goes into 633939.

Step 1:
The number 45 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 45

On to step 2:
45 goes into 63 1 times with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 45 away from 63, we end up with 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 45

Going ahead to step 3:
The number 45 fits into 183 4 times, leaving a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 3 after subtracting 180 from 183.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 45

Step 4:
39 divided by 45 is 0 with a remainder of 39.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
Subtracting 0 from 39 leaves us with 39.
Take the next digit (3) from the dividend and append it to 39, then repeat: 393 / 45

Step 5:
393 divided by 45 is 8 with a remainder of 33.
Record the quotient 8 as the next digit in the result. 
Result so far: 1408.0
If we subtract 360 from 393, we get 33.
Bring next digit (9) of the dividend behind the 33 and repeat the process: 339 / 45

Advancing to step 6:
When dividing 339 by 45, we get 7 with a remainder of 24.
Record the quotient 7 as the next digit in the result. 
Result so far: 14087.0
If we subtract 315 from 339, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
If we divide 240 by 45, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 14087.5
If we subtract 225 from 240, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 14087.53
Subtracting 135 from 150 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
When dividing 150 by 45, we get 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 14087.533
Deduct 135 from 150 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 14087.533, and the remainder is 0.0015.