682319 ÷ 66 
We want to figure out the number of times 682319 can be divided by 66.

Going ahead to step 1:
66 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 66

Moving on to step 2:
The number 66 fits into 68 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 66 from 68, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 66

Moving on to step 3:
66 can be fit into 22 0 times, resulting in a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 22 after subtracting 0 from 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 66

Advancing to step 4:
66 can be fit into 223 3 times, resulting in a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 103.0
Deduct 198 from 223 and we're left with 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 66

Step 5:
When dividing 251 by 66, we get 3 with a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 1033.0
If we subtract 198 from 251, we get 53.
Grab the next digit (9) from the dividend, add it to 53, then carry on: 539 / 66

Moving on to step 6:
539 divided by 66 is 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 10338.0
Deduct 528 from 539 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.

Step 7:
If we divide 110 by 66, we get 1 and a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 10338.1
If we take 66 away from 110, we end up 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.

Step 8:
When dividing 440 by 66, we get 6 with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 10338.16
If we subtract 396 from 440, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
When dividing 440 by 66, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 10338.166
Subtract 396 from 440 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 10338.166 and a remainder of 0.0044.