We look at the division of 418678 by 38 
We want to divide 418678 by 38.

Let's proceed to step 1:
When dividing 4 by 38, we get 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.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 38

Advancing to step 2:
41 divided by 38 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 38 from 41 and we're left with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 38

Going ahead to step 3:
38 divided by 38 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 38 from 38 and we're left with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 38

Going ahead to step 4:
The number 38 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 110.0
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 38

Step 5:
38 goes into 67 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1101.0
Deduct 38 from 67 and we're left with 29.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 38

Moving on to step 6:
The number 38 fits into 298 7 times, leaving a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 11017.0
The remainder is 32 after subtracting 266 from 298.
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 7:
38 goes into 320 8 times with a remainder of 16.
The next digit of our result is 8. 
Result so far: 11017.8
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.

Advancing to step 8:
38 goes into 160 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 11017.84
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 38, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 11017.842
Subtract 76 from 80 to get 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 10:
38 can be fit into 40 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 11017.8421
If we take 38 away from 40, we end up 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.

On to step 11:
When dividing 20 by 38, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11017.8421
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 11017.842105
If we subtract 190 from 200, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
38 can be fit into 100 2 times, resulting in a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 11017.8421052
Subtracting 76 from 100 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 14:
When dividing 240 by 38, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 11017.84210526
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 11017.84210526, with a leftover of 1.2e-08.