We're dividing 434102 by 38 
We're looking to find how many times 38 goes into 434102.

Advancing to step 1:
38 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 38

Moving on to step 2:
If we divide 43 by 38, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 38 from 43 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 38

Let's proceed to step 3:
When dividing 54 by 38, we get 1 with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 38 away from 54, we end up with 16.
Append the next digit (1) from the dividend to 16 and continue with: 161 / 38

Moving on to step 4:
When dividing 161 by 38, we get 4 with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 114.0
Deduct 152 from 161 and we're left with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 38

Going ahead to step 5:
38 can be fit into 90 2 times, resulting in a remainder of 14.
The next digit of our result is 2. 
Result so far: 1142.0
Subtracting 76 from 90 leaves us with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 38

Step 6:
38 can be fit into 142 3 times, resulting in a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 11423.0
Subtract 114 from 142 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.

Step 7:
When dividing 280 by 38, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 11423.7
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 8:
140 divided by 38 is 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 11423.73
If we take 114 away from 140, we end up 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.

Step 9:
38 goes into 260 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 11423.736
Subtracting 228 from 260 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
If we divide 320 by 38, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 11423.7368
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.

Advancing to step 11:
38 goes into 160 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 11423.73684
Subtract 152 from 160 to 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.

Let's proceed to step 12:
If we divide 80 by 38, we get 2 and a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 11423.736842
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
When dividing 40 by 38, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 11423.7368421
The remainder is 2 after subtracting 38 from 40.
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 14:
The number 38 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 11423.7368421
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.

The final outcome is 11423.7368421, with a leftover of 2e-08.