We look at the division of 634309 by 48 
We want to divide 634309 by 48.

Step 1:
When dividing 6 by 48, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 48

Let's proceed to step 2:
If we divide 63 by 48, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 48 from 63 to get 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 48

On to step 3:
If we divide 154 by 48, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 144 from 154 and we're left with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 48

Let's proceed to step 4:
The number 48 fits into 103 2 times, leaving a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 132.0
Deduct 96 from 103 and we're left with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 48

Moving on to step 5:
When dividing 70 by 48, we get 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 1321.0
Deduct 48 from 70 and we're left with 22.
Append the next digit (9) from the dividend to 22 and continue with: 229 / 48

Going ahead to step 6:
When dividing 229 by 48, we get 4 with a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 13214.0
Subtracting 192 from 229 leaves us 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.

Going ahead to step 7:
48 goes into 370 7 times with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 13214.7
If we take 336 away from 370, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
340 divided by 48 is 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 13214.77
Subtracting 336 from 340 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 13214.77 and a remainder of 0.004.