Let's divide 631736 by 97
We want to figure out the number of times 631736 can be divided by 97.

On to step 1:
The number 97 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 97

On to step 2:
97 goes into 63 0 times with a remainder of 63.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Include the next digit (1) from the dividend after 63, then repeat: 631 / 97

Advancing to step 3:
When dividing 631 by 97, we get 6 with a remainder of 49.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 49 after subtracting 582 from 631.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 97

Moving on to step 4:
When dividing 497 by 97, we get 5 with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 65.0
Subtract 485 from 497 to get 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 97

Moving on to step 5:
The number 97 fits into 123 1 times, leaving a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 651.0
The remainder is 26 after subtracting 97 from 123.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 97

Moving on to step 6:
97 goes into 266 2 times with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 6512.0
The remainder is 72 after subtracting 194 from 266.
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 7:
If we divide 720 by 97, we get 7 and a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 6512.7
The remainder is 41 after subtracting 679 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 8:
97 goes into 410 4 times with a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 6512.74
If we take 388 away from 410, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
If we divide 220 by 97, we get 2 and a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 6512.742
The remainder is 26 after subtracting 194 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 10:
If we divide 260 by 97, we get 2 and a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 6512.7422
If we take 194 away from 260, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Our division results in 6512.7422 with a remaining 0.00066.