We divide 632971 by 97
We want to figure out the number of times 632971 can be divided by 97.

Advancing to step 1:
When dividing 6 by 97, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 97

Let's proceed to step 2:
If we divide 63 by 97, we get 0 and a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Append the next digit (2) from the dividend to 63 and continue with: 632 / 97

Going ahead to step 3:
When dividing 632 by 97, we get 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 582 from 632 to get 50.
Fetch the next digit (9) from the dividend, attach it to 50 and continue: 509 / 97

Moving on to step 4:
When dividing 509 by 97, we get 5 with a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we subtract 485 from 509, we get 24.
Fetch the next digit (7) from the dividend, attach it to 24 and continue: 247 / 97

Step 5:
When dividing 247 by 97, we get 2 with a remainder of 53.
Use 2 as the next digit of our solution. 
Result so far: 652.0
If we take 194 away from 247, we end up with 53.
Take the next digit (1) from the dividend and append it to 53, then repeat: 531 / 97

Advancing to step 6:
If we divide 531 by 97, we get 5 and a remainder of 46.
Write down 5 as next digit of the result. 
Result so far: 6525.0
If we subtract 485 from 531, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
97 goes into 460 4 times with a remainder of 72.
Put 4 as the next digit of the answer. 
Result so far: 6525.4
Subtracting 388 from 460 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 8:
720 divided by 97 is 7 with a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 6525.47
Deduct 679 from 720 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 9:
97 can be fit into 410 4 times, resulting in a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 6525.474
The remainder is 22 after subtracting 388 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
When dividing 220 by 97, we get 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 6525.4742
Subtracting 194 from 220 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
If we divide 260 by 97, we get 2 and a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 6525.47422
If we subtract 194 from 260, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

In conclusion, the division gives 6525.47422 with a balance of 6.6e-05.