Let's divide 101433 by 38
Our goal is to divide 101433 by 38.

On to step 1:
1 divided by 38 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 38

On to step 2:
When dividing 10 by 38, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 38

Going ahead to step 3:
38 goes into 101 2 times with a remainder of 25.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 25 after subtracting 76 from 101.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 38

On to step 4:
38 can be fit into 254 6 times, resulting in a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Deduct 228 from 254 and we're left with 26.
Append the next digit (3) from the dividend to 26 and continue with: 263 / 38

Going ahead to step 5:
The number 38 fits into 263 6 times, leaving a remainder of 35.
Put 6 as the next digit of the answer. 
Result so far: 266.0
If we subtract 228 from 263, we get 35.
Grab the next digit (3) from the dividend, add it to 35, then carry on: 353 / 38

Step 6:
353 divided by 38 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 2669.0
Subtract 342 from 353 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
If we divide 110 by 38, we get 2 and a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 2669.2
If we take 76 away from 110, we end up 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.

Moving on to step 8:
38 goes into 340 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 2669.28
Subtracting 304 from 340 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
360 divided by 38 is 9 with a remainder of 18.
The next digit of our result is 9. 
Result so far: 2669.289
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 10:
If we divide 180 by 38, we get 4 and a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 2669.2894
Subtract 152 from 180 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.

Moving on to step 11:
When dividing 280 by 38, we get 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 2669.28947
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.

Going ahead to step 12:
38 goes into 140 3 times with a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 2669.289473
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
When dividing 260 by 38, we get 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 2669.2894736
If we take 228 away from 260, we end up 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.

Moving on to step 14:
When dividing 320 by 38, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 2669.28947368
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 2669.28947368 with a remaining 1.6e-08.