We're dividing 417321 by 38 
Let's see how many times 38 fits into 417321.

Going ahead to step 1:
38 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 38

Step 2:
The number 38 fits into 41 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 3 after subtracting 38 from 41.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 38

Let's proceed to step 3:
The number 38 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 38

On to step 4:
The number 38 fits into 373 9 times, leaving a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
If we subtract 342 from 373, we get 31.
Grab the next digit (2) from the dividend, add it to 31, then carry on: 312 / 38

Moving on to step 5:
312 divided by 38 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1098.0
The remainder is 8 after subtracting 304 from 312.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 38

On to step 6:
If we divide 81 by 38, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 10982.0
The remainder is 5 after subtracting 76 from 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
50 divided by 38 is 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 10982.1
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
120 divided by 38 is 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 10982.13
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 38 fits into 60 1 times, leaving a remainder of 22.
The next digit of our result is 1. 
Result so far: 10982.131
If we subtract 38 from 60, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 10:
If we divide 220 by 38, we get 5 and a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 10982.1315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
38 goes into 300 7 times with a remainder of 34.
The next digit of our result is 7. 
Result so far: 10982.13157
If we take 266 away from 300, 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.

Let's proceed to step 12:
38 goes into 340 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 10982.131578
Subtracting 304 from 340 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 13:
38 goes into 360 9 times with a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 10982.1315789
Subtracting 342 from 360 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
180 divided by 38 is 4 with a remainder of 28.
The next digit of our result is 4. 
Result so far: 10982.13157894
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 10982.13157894 with a remainder of 2.8e-08.