We look at the division of 433088 by 38 
We're looking to find how many times 38 goes into 433088.

On to step 1:
When dividing 4 by 38, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 38

Moving on to step 2:
The number 38 fits into 43 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 5 after subtracting 38 from 43.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 38

Step 3:
If we divide 53 by 38, we get 1 and a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 38 from 53 to get 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 38

On to step 4:
38 goes into 150 3 times with a remainder of 36.
The next digit of our result is 3. 
Result so far: 113.0
If we subtract 114 from 150, we get 36.
Include the next digit (8) from the dividend after 36, then repeat: 368 / 38

Moving on to step 5:
When dividing 368 by 38, we get 9 with a remainder of 26.
Use 9 as the next digit of our solution. 
Result so far: 1139.0
Subtracting 342 from 368 leaves us with 26.
Grab the next digit (8) from the dividend, add it to 26, then carry on: 268 / 38

Step 6:
If we divide 268 by 38, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 11397.0
Deduct 266 from 268 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.

Moving on to step 7:
38 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 11397.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 38, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 11397.05
Subtract 190 from 200 to 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 9:
The number 38 fits into 100 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 11397.052
If we subtract 76 from 100, we 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.

On to step 10:
The number 38 fits into 240 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 11397.0526
If we take 228 away from 240, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 11397.05263
Deduct 114 from 120 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.

Going ahead to step 12:
If we divide 60 by 38, we get 1 and a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 11397.052631
Subtract 38 from 60 to get 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 13:
220 divided by 38 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 11397.0526315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 11397.05263157
Subtract 266 from 300 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final outcome is 11397.05263157, with a leftover of 3.4e-08.