686509 ÷ 97 
We want to figure out the number of times 686509 can be divided by 97.

Advancing to step 1:
The number 97 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 97

Step 2:
97 can be fit into 68 0 times, resulting in a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Fetch the next digit (6) from the dividend, attach it to 68 and continue: 686 / 97

Moving on to step 3:
The number 97 fits into 686 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 679 from 686 to get 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 97

Going ahead to step 4:
When dividing 75 by 97, we get 0 with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 70.0
The remainder is 75 after subtracting 0 from 75.
Bring next digit (0) of the dividend behind the 75 and repeat the process: 750 / 97

Let's proceed to step 5:
97 can be fit into 750 7 times, resulting in a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 707.0
If we take 679 away from 750, we end up with 71.
Bring next digit (9) of the dividend behind the 71 and repeat the process: 719 / 97

Moving on to step 6:
If we divide 719 by 97, we get 7 and a remainder of 40.
Put 7 as the next digit of the answer. 
Result so far: 7077.0
If we take 679 away from 719, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
If we divide 400 by 97, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 7077.4
Deduct 388 from 400 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
The number 97 fits into 120 1 times, leaving a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 7077.41
Subtracting 97 from 120 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
If we divide 230 by 97, we get 2 and a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 7077.412
The remainder is 36 after subtracting 194 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
If we divide 360 by 97, we get 3 and a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 7077.4123
Deduct 291 from 360 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 11:
97 goes into 690 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 7077.41237
Deduct 679 from 690 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
The number 97 fits into 110 1 times, leaving a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 7077.412371
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
If we divide 130 by 97, we get 1 and a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 7077.4123711
If we subtract 97 from 130, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 7077.4123711, and the remainder is 3.3e-07.