636563 ÷ 97 
Our goal is to divide 636563 by 97.

Let's proceed to step 1:
6 divided by 97 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 97

Going ahead to step 2:
97 can be fit into 63 0 times, resulting in a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 63 leaves us with 63.
Include the next digit (6) from the dividend after 63, then repeat: 636 / 97

Moving on to step 3:
636 divided by 97 is 6 with a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 582 from 636, we get 54.
Fetch the next digit (5) from the dividend, attach it to 54 and continue: 545 / 97

Let's proceed to step 4:
The number 97 fits into 545 5 times, leaving a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 65.0
Subtract 485 from 545 to get 60.
Include the next digit (6) from the dividend after 60, then repeat: 606 / 97

On to step 5:
If we divide 606 by 97, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 656.0
Subtracting 582 from 606 leaves us with 24.
Bring next digit (3) of the dividend behind the 24 and repeat the process: 243 / 97

Moving on to step 6:
When dividing 243 by 97, we get 2 with a remainder of 49.
Write down 2 as next digit of the result. 
Result so far: 6562.0
Subtracting 194 from 243 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
If we divide 490 by 97, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6562.5
If we subtract 485 from 490, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
97 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 6562.5
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.

Let's proceed to step 9:
If we divide 500 by 97, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 6562.505
Deduct 485 from 500 and we're left 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.

Advancing to step 10:
150 divided by 97 is 1 with a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 6562.5051
The remainder is 53 after subtracting 97 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 11:
97 goes into 530 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 6562.50515
The remainder is 45 after subtracting 485 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 12:
The number 97 fits into 450 4 times, leaving a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 6562.505154
Deduct 388 from 450 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 13:
If we divide 620 by 97, we get 6 and a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 6562.5051546
If we take 582 away from 620, we end up 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 14:
380 divided by 97 is 3 with a remainder of 89.
Use 3 as the next digit of our solution. 
Result so far: 6562.50515463
If we take 291 away from 380, we end up with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

The final result is 6562.50515463 with a remainder of 8.9e-08.