We look at the division of 488629 by 48 
Let's see how many times 48 fits into 488629.

Step 1:
4 divided by 48 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (8) from the dividend to 4 and continue with: 48 / 48

On to step 2:
48 can be fit into 48 1 times, resulting in a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 48 from 48 leaves us with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 48

On to step 3:
If we divide 8 by 48, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 48

Advancing to step 4:
The number 48 fits into 86 1 times, leaving a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Subtract 48 from 86 to get 38.
Grab the next digit (2) from the dividend, add it to 38, then carry on: 382 / 48

Step 5:
When dividing 382 by 48, we get 7 with a remainder of 46.
The next digit of our result is 7. 
Result so far: 1017.0
If we take 336 away from 382, we end up with 46.
Include the next digit (9) from the dividend after 46, then repeat: 469 / 48

Going ahead to step 6:
If we divide 469 by 48, we get 9 and a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 10179.0
If we take 432 away from 469, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
The number 48 fits into 370 7 times, leaving a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 10179.7
If we subtract 336 from 370, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
If we divide 340 by 48, we get 7 and a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 10179.77
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 10179.77 with a remaining 0.004.