10097 ÷ 39 
Let's see how many times 39 fits into 10097.

Going ahead to step 1:
When dividing 1 by 39, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 39

Going ahead to step 2:
If we divide 10 by 39, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 39

Going ahead to step 3:
If we divide 100 by 39, we get 2 and a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 78 from 100 to get 22.
Bring next digit (9) of the dividend behind the 22 and repeat the process: 229 / 39

Moving on to step 4:
39 can be fit into 229 5 times, resulting in a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Deduct 195 from 229 and we're left with 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 39

Going ahead to step 5:
39 can be fit into 347 8 times, resulting in a remainder of 35.
The number 8 becomes the next digit in our result. 
Result so far: 258.0
Deduct 312 from 347 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 6:
The number 39 fits into 350 8 times, leaving a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 258.8
The remainder is 38 after subtracting 312 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
If we divide 380 by 39, we get 9 and a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 258.89
If we subtract 351 from 380, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 8:
When dividing 290 by 39, we get 7 with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 258.897
The remainder is 17 after subtracting 273 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
If we divide 170 by 39, we get 4 and a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 258.8974
If we subtract 156 from 170, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
39 goes into 140 3 times with a remainder of 23.
The next digit of our result is 3. 
Result so far: 258.89743
Deduct 117 from 140 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
230 divided by 39 is 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 258.897435
Subtract 195 from 230 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 12:
350 divided by 39 is 8 with a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 258.8974358
Deduct 312 from 350 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
If we divide 380 by 39, we get 9 and a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 258.89743589
Deduct 351 from 380 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 258.89743589 and a remainder of 2.9e-08.