We're dividing 480633 by 29 
We want to figure out the number of times 480633 can be divided by 29.

Let's proceed to step 1:
29 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 29

On to step 2:
If we divide 48 by 29, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 29 from 48 to get 19.
Bring next digit (0) of the dividend behind the 19 and repeat the process: 190 / 29

Moving on to step 3:
190 divided by 29 is 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 174 away from 190, we end up with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 29

On to step 4:
166 divided by 29 is 5 with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 165.0
Deduct 145 from 166 and we're left with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 29

Moving on to step 5:
29 goes into 213 7 times with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 1657.0
Subtracting 203 from 213 leaves us with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 29

Advancing to step 6:
29 goes into 103 3 times with a remainder of 16.
The next digit of our result is 3. 
Result so far: 16573.0
Subtract 87 from 103 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
160 divided by 29 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 16573.5
Subtracting 145 from 160 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.

Let's proceed to step 8:
29 can be fit into 150 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 16573.55
If we take 145 away from 150, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 16573.55, and the remainder is 0.005.