We're dividing 21633 by 97 
Our goal is to divide 21633 by 97.

Let's proceed to step 1:
97 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 97

Let's proceed to step 2:
When dividing 21 by 97, we get 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Grab the next digit (6) from the dividend, add it to 21, then carry on: 216 / 97

On to step 3:
The number 97 fits into 216 2 times, leaving a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 194 from 216 leaves us with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 97

Advancing to step 4:
223 divided by 97 is 2 with a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 194 from 223 and we're left with 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 97

Going ahead to step 5:
If we divide 293 by 97, we get 3 and a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 223.0
Subtracting 291 from 293 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
The number 97 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 223.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
When dividing 200 by 97, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 223.02
If we subtract 194 from 200, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 97 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 223.02
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 9:
600 divided by 97 is 6 with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 223.0206
If we subtract 582 from 600, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
180 divided by 97 is 1 with a remainder of 83.
Put 1 as the next digit of the answer. 
Result so far: 223.02061
If we take 97 away from 180, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 11:
97 goes into 830 8 times with a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 223.020618
If we take 776 away from 830, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 12:
97 goes into 540 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 223.0206185
The remainder is 55 after subtracting 485 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 13:
If we divide 550 by 97, we get 5 and a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 223.02061855
The remainder is 65 after subtracting 485 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 223.02061855 with a remaining 6.5e-08.