We look at the division of 406341 by 38 
Let's see how many times 38 fits into 406341.

Advancing to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 38

Step 2:
38 goes into 40 1 times with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 38 away from 40, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 38

Going ahead to step 3:
38 goes into 26 0 times with a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 26 leaves us with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 38

Advancing to step 4:
38 goes into 263 6 times with a remainder of 35.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtracting 228 from 263 leaves us with 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 38

On to step 5:
38 can be fit into 354 9 times, resulting in a remainder of 12.
Write down 9 as next digit of the result. 
Result so far: 1069.0
If we take 342 away from 354, we end up with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 38

Step 6:
38 can be fit into 121 3 times, resulting in a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 10693.0
Subtract 114 from 121 to 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.

Advancing to step 7:
When dividing 70 by 38, we get 1 with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 10693.1
Subtracting 38 from 70 leaves us with 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:
The number 38 fits into 320 8 times, leaving a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 10693.18
The remainder is 16 after subtracting 304 from 320.
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 9:
38 can be fit into 160 4 times, resulting in a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 10693.184
Deduct 152 from 160 and we're left 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.
Put 2 as the next digit of the answer. 
Result so far: 10693.1842
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.

On to step 11:
If we divide 40 by 38, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 10693.18421
Subtracting 38 from 40 leaves us 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:
When dividing 20 by 38, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 10693.18421
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.

Advancing to step 13:
When dividing 200 by 38, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 10693.1842105
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.

Advancing to step 14:
If we divide 100 by 38, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 10693.18421052
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 10693.18421052 with a balance of 2.4e-08.