Let's divide 21236 by 97
We're looking to find how many times 97 goes into 21236.

Advancing to step 1:
2 divided by 97 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 97

Advancing to step 2:
If we divide 21 by 97, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Bring next digit (2) of the dividend behind the 21 and repeat the process: 212 / 97

Advancing to step 3:
97 goes into 212 2 times with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 194 from 212 leaves us with 18.
Append the next digit (3) from the dividend to 18 and continue with: 183 / 97

On to step 4:
The number 97 fits into 183 1 times, leaving a remainder of 86.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
The remainder is 86 after subtracting 97 from 183.
Append the next digit (6) from the dividend to 86 and continue with: 866 / 97

Step 5:
866 divided by 97 is 8 with a remainder of 90.
The next digit of our result is 8. 
Result so far: 218.0
The remainder is 90 after subtracting 776 from 866.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 6:
The number 97 fits into 900 9 times, leaving a remainder of 27.
The next digit of our result is 9. 
Result so far: 218.9
Deduct 873 from 900 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 7:
97 can be fit into 270 2 times, resulting in a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 218.92
Deduct 194 from 270 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 8:
When dividing 760 by 97, we get 7 with a remainder of 81.
The next digit of our result is 7. 
Result so far: 218.927
Subtract 679 from 760 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 9:
97 goes into 810 8 times with a remainder of 34.
The next digit of our result is 8. 
Result so far: 218.9278
If we subtract 776 from 810, we 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.

Moving on to step 10:
97 goes into 340 3 times with a remainder of 49.
The next digit of our result is 3. 
Result so far: 218.92783
If we subtract 291 from 340, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 11:
When dividing 490 by 97, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 218.927835
The remainder is 5 after subtracting 485 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
The number 97 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 218.927835
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
When dividing 500 by 97, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 218.92783505
If we take 485 away from 500, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 218.92783505 with a remainder of 1.5e-08.