We're dividing 415659 by 38 
We want to divide 415659 by 38.

Let's proceed to step 1:
If we divide 4 by 38, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 38

Step 2:
When dividing 41 by 38, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 3 after subtracting 38 from 41.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 38

Advancing to step 3:
38 goes into 35 0 times with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 38

Going ahead to step 4:
356 divided by 38 is 9 with a remainder of 14.
The next digit of our result is 9. 
Result so far: 109.0
Subtract 342 from 356 to get 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 38

Moving on to step 5:
The number 38 fits into 145 3 times, leaving a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 1093.0
Subtract 114 from 145 to get 31.
Bring next digit (9) of the dividend behind the 31 and repeat the process: 319 / 38

Moving on to step 6:
When dividing 319 by 38, we get 8 with a remainder of 15.
Put 8 as the next digit of the answer. 
Result so far: 10938.0
If we take 304 away from 319, we end up 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.

Moving on to step 7:
If we divide 150 by 38, we get 3 and a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 10938.3
Subtracting 114 from 150 leaves us 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.

Moving on to step 8:
The number 38 fits into 360 9 times, leaving a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 10938.39
Subtract 342 from 360 to 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.

On to step 9:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 10938.394
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 10:
38 can be fit into 280 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 10938.3947
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 10938.39473
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.
Record the quotient 6 as the next digit in the result. 
Result so far: 10938.394736
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.

Advancing to step 13:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 10938.3947368
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
When dividing 160 by 38, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 10938.39473684
If we subtract 152 from 160, we 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.

In conclusion, the division gives 10938.39473684 with a balance of 8e-09.