34282 ÷ 38 
We're looking to find how many times 38 goes into 34282.

Going ahead to step 1:
3 divided by 38 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 38

Going ahead to step 2:
The number 38 fits into 34 0 times, leaving a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 38

Moving on to step 3:
342 divided by 38 is 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 342 from 342, we get 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 38

On to step 4:
If we divide 8 by 38, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 90.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 38

On to step 5:
When dividing 82 by 38, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 902.0
The remainder is 6 after subtracting 76 from 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 6:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 902.1
Subtracting 38 from 60 leaves us 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.

On to step 7:
The number 38 fits into 220 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 902.15
Subtracting 190 from 220 leaves us 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.

On to step 8:
The number 38 fits into 300 7 times, leaving a remainder of 34.
The next digit of our result is 7. 
Result so far: 902.157
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.

Step 9:
340 divided by 38 is 8 with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 902.1578
If we take 304 away from 340, we end up 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.

Advancing to step 10:
If we divide 360 by 38, we get 9 and a remainder of 18.
The next digit of our result is 9. 
Result so far: 902.15789
The remainder is 18 after subtracting 342 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
The number 38 fits into 180 4 times, leaving a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 902.157894
If we take 152 away from 180, we end up with 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 12:
38 goes into 280 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 902.1578947
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 13:
If we divide 140 by 38, we get 3 and a remainder of 26.
The next digit of our result is 3. 
Result so far: 902.15789473
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.

The final result is 902.15789473 with a remainder of 2.6e-08.