38295 ÷ 28 
Our goal is to divide 38295 by 28.

On to step 1:
When dividing 3 by 28, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 28

Advancing to step 2:
The number 28 fits into 38 1 times, leaving a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 28 from 38 and we're left with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 28

Moving on to step 3:
28 goes into 102 3 times with a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 84 away from 102, we end up with 18.
Fetch the next digit (9) from the dividend, attach it to 18 and continue: 189 / 28

Advancing to step 4:
28 goes into 189 6 times with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
If we take 168 away from 189, we end up with 21.
Grab the next digit (5) from the dividend, add it to 21, then carry on: 215 / 28

Step 5:
28 goes into 215 7 times with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 1367.0
Subtracting 196 from 215 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 6:
28 can be fit into 190 6 times, resulting in a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 1367.6
Deduct 168 from 190 and we're left 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.

Moving on to step 7:
The number 28 fits into 220 7 times, leaving a remainder of 24.
The next digit of our result is 7. 
Result so far: 1367.67
Subtract 196 from 220 to 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.

Advancing to step 8:
The number 28 fits into 240 8 times, leaving a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 1367.678
Deduct 224 from 240 and we're left 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.

Going ahead to step 9:
28 goes into 160 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 1367.6785
If we take 140 away from 160, we end up 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 10:
When dividing 200 by 28, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 1367.67857
Subtract 196 from 200 to get 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 11:
If we divide 40 by 28, we get 1 and a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1367.678571
Subtract 28 from 40 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
120 divided by 28 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 1367.6785714
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
28 goes into 80 2 times with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 1367.67857142
The remainder is 24 after subtracting 56 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 1367.67857142 with a balance of 2.4e-08.