Let's divide 419184 by 38
We're looking to find how many times 38 goes into 419184.

Advancing 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
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 38

Going ahead to step 2:
When dividing 41 by 38, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 38 from 41 to get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 38

Step 3:
The number 38 fits into 39 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 38 away from 39, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 38

Let's proceed to step 4:
38 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
Subtracting 0 from 11 leaves us with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 38

Moving on to step 5:
The number 38 fits into 118 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 1103.0
Subtract 114 from 118 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 38

Advancing to step 6:
38 can be fit into 44 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 11031.0
Deduct 38 from 44 and we're left 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 7:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 11031.1
If we take 38 away from 60, we end up 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.

Step 8:
38 goes into 220 5 times with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 11031.15
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
300 divided by 38 is 7 with a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 11031.157
Deduct 266 from 300 and we're left 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.

Step 10:
38 can be fit into 340 8 times, resulting in a remainder of 36.
The next digit of our result is 8. 
Result so far: 11031.1578
The remainder is 36 after subtracting 304 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
360 divided by 38 is 9 with a remainder of 18.
The next digit of our result is 9. 
Result so far: 11031.15789
Deduct 342 from 360 and we're left with 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 12:
180 divided by 38 is 4 with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 11031.157894
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 13:
If we divide 280 by 38, we get 7 and a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 11031.1578947
Deduct 266 from 280 and we're left 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.

Moving on to step 14:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 11031.15789473
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 11031.15789473 with a remaining 2.6e-08.