We're dividing 641416 by 97 
Our goal is to divide 641416 by 97.

Moving on 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.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 97

Going ahead to step 2:
97 goes into 64 0 times with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 97

Step 3:
The number 97 fits into 641 6 times, leaving a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 582 from 641 to get 59.
Append the next digit (4) from the dividend to 59 and continue with: 594 / 97

On to step 4:
97 goes into 594 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 66.0
Deduct 582 from 594 and we're left with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 97

Moving on to step 5:
The number 97 fits into 121 1 times, leaving a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 661.0
Subtract 97 from 121 to get 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 97

Going ahead to step 6:
The number 97 fits into 246 2 times, leaving a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 6612.0
If we take 194 away from 246, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
The number 97 fits into 520 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 6612.5
Subtracting 485 from 520 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
If we divide 350 by 97, we get 3 and a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 6612.53
The remainder is 59 after subtracting 291 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 9:
97 can be fit into 590 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6612.536
Deduct 582 from 590 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
80 divided by 97 is 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6612.536
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 11:
800 divided by 97 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 6612.53608
Subtracting 776 from 800 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
97 goes into 240 2 times with a remainder of 46.
The next digit of our result is 2. 
Result so far: 6612.536082
If we take 194 away from 240, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
460 divided by 97 is 4 with a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 6612.5360824
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.

Advancing to step 14:
97 goes into 720 7 times with a remainder of 41.
The next digit of our result is 7. 
Result so far: 6612.53608247
Subtracting 679 from 720 leaves us 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.

The final result is 6612.53608247 with a remainder of 4.1e-08.