We're dividing 413542 by 38 
We're looking to find how many times 38 goes into 413542.

On to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 38

Going ahead to step 2:
41 divided by 38 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 38 from 41 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 38

Let's proceed to step 3:
When dividing 33 by 38, we get 0 with a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we subtract 0 from 33, we get 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 38

Moving on to step 4:
38 can be fit into 335 8 times, resulting in a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Subtract 304 from 335 to get 31.
Append the next digit (4) from the dividend to 31 and continue with: 314 / 38

Moving on to step 5:
If we divide 314 by 38, we get 8 and a remainder of 10.
The next digit of our result is 8. 
Result so far: 1088.0
Subtracting 304 from 314 leaves us with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 38

Step 6:
38 goes into 102 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 10882.0
Subtracting 76 from 102 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
When dividing 260 by 38, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 10882.6
If we subtract 228 from 260, 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:
The number 38 fits into 320 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 10882.68
Subtracting 304 from 320 leaves us 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.

On to step 9:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 10882.684
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.

On 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: 10882.6842
Subtracting 76 from 80 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.

Let's proceed to step 11:
38 goes into 40 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 10882.68421
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.

Advancing to step 12:
38 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10882.68421
Subtract 0 from 20 to get 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:
When dividing 200 by 38, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 10882.6842105
Subtracting 190 from 200 leaves us 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.

Advancing to step 14:
100 divided by 38 is 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 10882.68421052
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.

Our division results in 10882.68421052 with a remaining 2.4e-08.