Let's divide 638411 by 97
We're looking to find how many times 97 goes into 638411.

On to step 1:
97 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 97

Moving on to step 2:
97 goes into 63 0 times with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Include the next digit (8) from the dividend after 63, then repeat: 638 / 97

On to step 3:
97 can be fit into 638 6 times, resulting in a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 582 from 638 leaves us with 56.
Take the next digit (4) from the dividend and append it to 56, then repeat: 564 / 97

Moving on to step 4:
564 divided by 97 is 5 with a remainder of 79.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
The remainder is 79 after subtracting 485 from 564.
Include the next digit (1) from the dividend after 79, then repeat: 791 / 97

On to step 5:
When dividing 791 by 97, we get 8 with a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 658.0
If we take 776 away from 791, we end up with 15.
Fetch the next digit (1) from the dividend, attach it to 15 and continue: 151 / 97

Going ahead to step 6:
97 goes into 151 1 times with a remainder of 54.
The number 1 becomes the next digit in our result. 
Result so far: 6581.0
If we take 97 away from 151, 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.

On to step 7:
When dividing 540 by 97, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 6581.5
If we subtract 485 from 540, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 8:
550 divided by 97 is 5 with a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 6581.55
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.

The quotient of the division is 6581.55, and the remainder is 0.065.