We look at the division of 634151 by 38 
Let's see how many times 38 fits into 634151.

Let's proceed to step 1:
38 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 38

Step 2:
When dividing 63 by 38, we get 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 38 from 63 to get 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 38

Going ahead to step 3:
If we divide 254 by 38, we get 6 and a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtracting 228 from 254 leaves us with 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 38

Going ahead to step 4:
38 can be fit into 261 6 times, resulting in a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 166.0
Subtracting 228 from 261 leaves us with 33.
Take the next digit (5) from the dividend and append it to 33, then repeat: 335 / 38

On to step 5:
If we divide 335 by 38, we get 8 and a remainder of 31.
The number 8 becomes the next digit in our result. 
Result so far: 1668.0
Subtract 304 from 335 to get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 38

Step 6:
311 divided by 38 is 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 16688.0
If we subtract 304 from 311, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
38 can be fit into 70 1 times, resulting in a remainder of 32.
The next digit of our result is 1. 
Result so far: 16688.1
If we subtract 38 from 70, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
38 goes into 320 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 16688.18
If we take 304 away from 320, we end up 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.

Going ahead to step 9:
If we divide 160 by 38, we get 4 and a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 16688.184
If we take 152 away from 160, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
If we divide 80 by 38, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 16688.1842
Subtract 76 from 80 to 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.

Going ahead to step 11:
40 divided by 38 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 16688.18421
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
38 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 16688.18421
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
38 can be fit into 200 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 16688.1842105
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
100 divided by 38 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 16688.18421052
If we take 76 away from 100, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 16688.18421052 and a remainder of 2.4e-08.