We're dividing 684320 by 97 
Our goal is to divide 684320 by 97.

Step 1:
97 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 97

On to step 2:
If we divide 68 by 97, we get 0 and a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Include the next digit (4) from the dividend after 68, then repeat: 684 / 97

Let's proceed to step 3:
When dividing 684 by 97, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 679 from 684 and we're left with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 97

Moving on to step 4:
If we divide 53 by 97, we get 0 and a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 70.0
Deduct 0 from 53 and we're left with 53.
Include the next digit (2) from the dividend after 53, then repeat: 532 / 97

Advancing to step 5:
The number 97 fits into 532 5 times, leaving a remainder of 47.
Record the quotient 5 as the next digit in the result. 
Result so far: 705.0
If we subtract 485 from 532, we get 47.
Fetch the next digit (0) from the dividend, attach it to 47 and continue: 470 / 97

Moving on to step 6:
The number 97 fits into 470 4 times, leaving a remainder of 82.
The next digit of our result is 4. 
Result so far: 7054.0
Subtracting 388 from 470 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 7:
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: 7054.8
Deduct 776 from 820 and we're left 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.

Let's proceed to step 8:
97 can be fit into 440 4 times, resulting in a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 7054.84
Subtracting 388 from 440 leaves us 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.

Let's proceed to step 9:
97 can be fit into 520 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 7054.845
Subtract 485 from 520 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
97 goes into 350 3 times with a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 7054.8453
Subtract 291 from 350 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 11:
97 goes into 590 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 7054.84536
Subtract 582 from 590 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
When dividing 80 by 97, we get 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 7054.84536
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 13:
When dividing 800 by 97, we get 8 with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 7054.8453608
Subtract 776 from 800 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 14:
The number 97 fits into 240 2 times, leaving a remainder of 46.
The number 2 becomes the next digit in our result. 
Result so far: 7054.84536082
Deduct 194 from 240 and we're left 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.

Our division results in 7054.84536082 with a remaining 4.6e-08.