We're dividing 478186 by 38 
We're looking to find how many times 38 goes into 478186.

Going ahead 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
Deduct 0 from 4 and we're left with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 38

On to step 2:
If we divide 47 by 38, we get 1 and a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 9 after subtracting 38 from 47.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 38

On to step 3:
98 divided by 38 is 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 76 from 98, we get 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 38

Advancing to step 4:
221 divided by 38 is 5 with a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 125.0
Subtract 190 from 221 to get 31.
Grab the next digit (8) from the dividend, add it to 31, then carry on: 318 / 38

Step 5:
The number 38 fits into 318 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 1258.0
The remainder is 14 after subtracting 304 from 318.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 38

Step 6:
38 can be fit into 146 3 times, resulting in a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 12583.0
If we subtract 114 from 146, 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.

Step 7:
320 divided by 38 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 12583.8
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.

Let's proceed to step 8:
160 divided by 38 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 12583.84
Deduct 152 from 160 and we're left 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.

On to step 9:
If we divide 80 by 38, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 12583.842
The remainder is 4 after subtracting 76 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 12583.8421
Deduct 38 from 40 and we're left 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.

Let's proceed to step 11:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 12583.8421
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.

Advancing to step 12:
38 goes into 200 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 12583.842105
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.

Advancing to step 13:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 12583.8421052
Subtract 76 from 100 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
When dividing 240 by 38, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 12583.84210526
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 12583.84210526, with a leftover of 1.2e-08.