416509 divided by 38 
Let's see how many times 38 fits into 416509.

Advancing to step 1:
38 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 38

Going ahead to step 2:
The number 38 fits into 41 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 38 from 41 and we're left with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 38

Advancing to step 3:
If we divide 36 by 38, we get 0 and a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 36, we get 36.
Include the next digit (5) from the dividend after 36, then repeat: 365 / 38

Let's proceed to step 4:
365 divided by 38 is 9 with a remainder of 23.
The next digit of our result is 9. 
Result so far: 109.0
The remainder is 23 after subtracting 342 from 365.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 38

Step 5:
When dividing 230 by 38, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 1096.0
Subtracting 228 from 230 leaves us with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 38

Step 6:
If we divide 29 by 38, we get 0 and a remainder of 29.
Record the quotient 0 as the next digit in the result. 
Result so far: 10960.0
If we subtract 0 from 29, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
38 goes into 290 7 times with a remainder of 24.
The next digit of our result is 7. 
Result so far: 10960.7
The remainder is 24 after subtracting 266 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
38 goes into 240 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 10960.76
Subtracting 228 from 240 leaves us with 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 9:
120 divided by 38 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 10960.763
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
If we divide 60 by 38, we get 1 and a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 10960.7631
Deduct 38 from 60 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
If we divide 220 by 38, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 10960.76315
Subtract 190 from 220 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 10960.763157
Subtracting 266 from 300 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 10960.7631578
If we take 304 away from 340, 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 14:
38 goes into 360 9 times with a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 10960.76315789
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

In conclusion, the division gives 10960.76315789 with a balance of 1.8e-08.