415537 ÷ 38 
Our goal is to divide 415537 by 38.

On to step 1:
4 divided by 38 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 38

Moving on to step 2:
The number 38 fits into 41 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 38 from 41 leaves us with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 38

Moving on to step 3:
38 can be fit into 35 0 times, resulting in a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 35 leaves us with 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 38

Step 4:
When dividing 355 by 38, we get 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 109.0
The remainder is 13 after subtracting 342 from 355.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 38

Let's proceed to step 5:
When dividing 133 by 38, we get 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 1093.0
The remainder is 19 after subtracting 114 from 133.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 38

On to step 6:
38 can be fit into 197 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 10935.0
Subtracting 190 from 197 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
70 divided by 38 is 1 with a remainder of 32.
The next digit of our result is 1. 
Result so far: 10935.1
Deduct 38 from 70 and we're left 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.

Advancing to step 8:
38 goes into 320 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 10935.18
Deduct 304 from 320 and we're left 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.

Step 9:
160 divided by 38 is 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 10935.184
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
38 goes into 80 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 10935.1842
The remainder is 4 after subtracting 76 from 80.
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 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: 10935.18421
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:
If we divide 20 by 38, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10935.18421
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 13:
The number 38 fits into 200 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 10935.1842105
If we take 190 away from 200, we end up 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.

Let's proceed to step 14:
When dividing 100 by 38, we get 2 with a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 10935.18421052
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.

The quotient of the division is 10935.18421052, and the remainder is 2.4e-08.