413353 ÷ 38 
We're looking to find how many times 38 goes into 413353.

Step 1:
38 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 38

Let's proceed to step 2:
The number 38 fits into 41 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 38 from 41 leaves us with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 38

Step 3:
38 can be fit into 33 0 times, resulting in a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 33, we end up with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 38

Advancing to step 4:
38 can be fit into 333 8 times, resulting in a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 108.0
If we take 304 away from 333, we end up with 29.
Fetch the next digit (5) from the dividend, attach it to 29 and continue: 295 / 38

Advancing to step 5:
When dividing 295 by 38, we get 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 1087.0
Subtract 266 from 295 to get 29.
Include the next digit (3) from the dividend after 29, then repeat: 293 / 38

Step 6:
38 can be fit into 293 7 times, resulting in a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 10877.0
Subtracting 266 from 293 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
The number 38 fits into 270 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 10877.7
If we subtract 266 from 270, we 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.

Moving on to step 8:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 10877.71
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.

Let's proceed to step 9:
If we divide 20 by 38, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10877.71
If we subtract 0 from 20, we 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.

Moving on to step 10:
If we divide 200 by 38, we get 5 and a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 10877.7105
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.

Going ahead to step 11:
The number 38 fits into 100 2 times, leaving a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 10877.71052
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.

Going ahead to step 12:
38 can be fit into 240 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 10877.710526
Subtract 228 from 240 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 13:
When dividing 120 by 38, we get 3 with a remainder of 6.
The next digit of our result is 3. 
Result so far: 10877.7105263
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.

Moving on to step 14:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 10877.71052631
Subtract 38 from 60 to 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.

In conclusion, the division gives 10877.71052631 with a balance of 2.2e-08.