We divide 635517 by 97
We're looking to find how many times 97 goes into 635517.

On to step 1:
6 divided by 97 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 97

Let's proceed to step 2:
When dividing 63 by 97, we get 0 with a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Take the next digit (5) from the dividend and append it to 63, then repeat: 635 / 97

Let's proceed to step 3:
97 can be fit into 635 6 times, resulting in a remainder of 53.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 582 from 635 and we're left with 53.
Take the next digit (5) from the dividend and append it to 53, then repeat: 535 / 97

Advancing to step 4:
If we divide 535 by 97, we get 5 and a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 65.0
The remainder is 50 after subtracting 485 from 535.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 97

Advancing to step 5:
The number 97 fits into 501 5 times, leaving a remainder of 16.
The next digit of our result is 5. 
Result so far: 655.0
If we take 485 away from 501, we end up with 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 97

Moving on to step 6:
The number 97 fits into 167 1 times, leaving a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 6551.0
Deduct 97 from 167 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 7:
When dividing 700 by 97, we get 7 with a remainder of 21.
The next digit of our result is 7. 
Result so far: 6551.7
Deduct 679 from 700 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
If we divide 210 by 97, we get 2 and a remainder of 16.
The next digit of our result is 2. 
Result so far: 6551.72
Subtract 194 from 210 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
The number 97 fits into 160 1 times, leaving a remainder of 63.
Put 1 as the next digit of the answer. 
Result so far: 6551.721
If we take 97 away from 160, we end up with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 10:
630 divided by 97 is 6 with a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 6551.7216
Subtract 582 from 630 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 11:
The number 97 fits into 480 4 times, leaving a remainder of 92.
The next digit of our result is 4. 
Result so far: 6551.72164
Subtract 388 from 480 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Going ahead to step 12:
920 divided by 97 is 9 with a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 6551.721649
Deduct 873 from 920 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 13:
If we divide 470 by 97, we get 4 and a remainder of 82.
Use 4 as the next digit of our solution. 
Result so far: 6551.7216494
Subtract 388 from 470 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 14:
When dividing 820 by 97, we get 8 with a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 6551.72164948
Subtracting 776 from 820 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 6551.72164948 with a balance of 4.4e-08.