Let's divide 680719 by 66
We're looking to find how many times 66 goes into 680719.

Advancing to step 1:
The number 66 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 66

Moving on to step 2:
When dividing 68 by 66, we get 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 66 from 68, we get 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 66

Advancing to step 3:
If we divide 20 by 66, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 20, we end up with 20.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 66

Let's proceed to step 4:
When dividing 207 by 66, we get 3 with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 103.0
Subtracting 198 from 207 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 66

On to step 5:
The number 66 fits into 91 1 times, leaving a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1031.0
Subtracting 66 from 91 leaves us with 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 66

Let's proceed to step 6:
259 divided by 66 is 3 with a remainder of 61.
The next digit of our result is 3. 
Result so far: 10313.0
If we take 198 away from 259, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 7:
66 goes into 610 9 times with a remainder of 16.
The next digit of our result is 9. 
Result so far: 10313.9
Subtract 594 from 610 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
When dividing 160 by 66, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 10313.92
If we subtract 132 from 160, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
66 can be fit into 280 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 10313.924
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
If we divide 160 by 66, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 10313.9242
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
66 goes into 280 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 10313.92424
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
The number 66 fits into 160 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 10313.924242
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 13:
The number 66 fits into 280 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 10313.9242424
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
66 can be fit into 160 2 times, resulting in a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 10313.92424242
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 10313.92424242 and a remainder of 2.8e-08.