We're dividing 413759 by 38 
Our goal is to divide 413759 by 38.

Step 1:
The number 38 fits into 4 0 times, leaving 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.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 38

Step 2:
38 goes into 41 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 38 from 41.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 38

On to step 3:
33 divided by 38 is 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 33 after subtracting 0 from 33.
Fetch the next digit (7) from the dividend, attach it to 33 and continue: 337 / 38

On to step 4:
The number 38 fits into 337 8 times, leaving a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 108.0
If we take 304 away from 337, we end up with 33.
Include the next digit (5) from the dividend after 33, then repeat: 335 / 38

Step 5:
335 divided by 38 is 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 1088.0
The remainder is 31 after subtracting 304 from 335.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 38

Step 6:
319 divided by 38 is 8 with a remainder of 15.
The next digit of our result is 8. 
Result so far: 10888.0
Subtracting 304 from 319 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
150 divided by 38 is 3 with a remainder of 36.
Put 3 as the next digit of the answer. 
Result so far: 10888.3
If we take 114 away from 150, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
38 can be fit into 360 9 times, resulting in a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 10888.39
If we subtract 342 from 360, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 9:
If we divide 180 by 38, we get 4 and a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 10888.394
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
38 goes into 280 7 times with a remainder of 14.
The next digit of our result is 7. 
Result so far: 10888.3947
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.

On to step 11:
140 divided by 38 is 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 10888.39473
Subtract 114 from 140 to 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.

Step 12:
38 goes into 260 6 times with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 10888.394736
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 13:
The number 38 fits into 320 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 10888.3947368
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.

Let's proceed to step 14:
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: 10888.39473684
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 10888.39473684 and a remainder of 8e-09.