We look at the division of 629641 by 48 
We're looking to find how many times 48 goes into 629641.

Advancing to step 1:
If we divide 6 by 48, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 48

Advancing to step 2:
The number 48 fits into 62 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 48 from 62, we get 14.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 48

On to step 3:
149 divided by 48 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtract 144 from 149 to get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 48

Step 4:
48 goes into 56 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 131.0
Deduct 48 from 56 and we're left with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 48

Moving on to step 5:
48 can be fit into 84 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1311.0
If we take 48 away from 84, we end up with 36.
Fetch the next digit (1) from the dividend, attach it to 36 and continue: 361 / 48

Let's proceed to step 6:
361 divided by 48 is 7 with a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 13117.0
The remainder is 25 after subtracting 336 from 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 7:
When dividing 250 by 48, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 13117.5
If we take 240 away from 250, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 48 fits into 100 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 13117.52
If we subtract 96 from 100, 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.

Step 9:
The number 48 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 13117.52
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
When dividing 400 by 48, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 13117.5208
The remainder is 16 after subtracting 384 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
48 can be fit into 160 3 times, resulting in a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 13117.52083
Subtract 144 from 160 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 12:
48 goes into 160 3 times with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 13117.520833
Deduct 144 from 160 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 13117.520833 with a remainder of 1.6e-06.