417382 ÷ 38 
Our goal is to divide 417382 by 38.

Moving on 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
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 38

Going ahead to step 2:
41 divided by 38 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 38 away from 41, we end up with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 38

On 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
Subtract 0 from 37 to get 37.
Include the next digit (3) from the dividend after 37, then repeat: 373 / 38

Let's proceed to step 4:
38 can be fit into 373 9 times, resulting in a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 109.0
Deduct 342 from 373 and we're left with 31.
Include the next digit (8) from the dividend after 31, then repeat: 318 / 38

Moving on to step 5:
When dividing 318 by 38, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 1098.0
Subtract 304 from 318 to get 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 38

On to step 6:
38 can be fit into 142 3 times, resulting in a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 10983.0
Deduct 114 from 142 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.

Moving on to step 7:
38 goes into 280 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 10983.7
If we subtract 266 from 280, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
140 divided by 38 is 3 with a remainder of 26.
The next digit of our result is 3. 
Result so far: 10983.73
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
38 can be fit into 260 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 10983.736
Subtracting 228 from 260 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.

Advancing to step 10:
38 goes into 320 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 10983.7368
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.

Going ahead to step 11:
When dividing 160 by 38, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 10983.73684
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.

Let's proceed to step 12:
38 goes into 80 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 10983.736842
Deduct 76 from 80 and we're left 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.

Moving on to step 13:
When dividing 40 by 38, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 10983.7368421
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
The number 38 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10983.7368421
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.

The quotient of the division is 10983.7368421, and the remainder is 2e-08.