We're dividing 683010 by 66 
We want to figure out the number of times 683010 can be divided by 66.

On to step 1:
The number 66 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 66

On to step 2:
66 goes into 68 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 66 from 68 to get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 66

On to step 3:
23 divided by 66 is 0 with a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 23, we end up with 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 66

Going ahead to step 4:
66 goes into 230 3 times with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 103.0
If we take 198 away from 230, we end up with 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 66

Let's proceed to step 5:
The number 66 fits into 321 4 times, leaving a remainder of 57.
The number 4 becomes the next digit in our result. 
Result so far: 1034.0
If we take 264 away from 321, we end up with 57.
Take the next digit (0) from the dividend and append it to 57, then repeat: 570 / 66

Going ahead to step 6:
If we divide 570 by 66, we get 8 and a remainder of 42.
The next digit of our result is 8. 
Result so far: 10348.0
Subtract 528 from 570 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
When dividing 420 by 66, we get 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 10348.6
Subtracting 396 from 420 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.

Moving on to step 8:
66 can be fit into 240 3 times, resulting in a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 10348.63
Subtracting 198 from 240 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 9:
The number 66 fits into 420 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 10348.636
Subtracting 396 from 420 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.

Let's proceed to step 10:
66 goes into 240 3 times with a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 10348.6363
If we take 198 away from 240, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 11:
420 divided by 66 is 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 10348.63636
Subtracting 396 from 420 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.

Step 12:
66 can be fit into 240 3 times, resulting in a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 10348.636363
If we take 198 away from 240, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
If we divide 420 by 66, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 10348.6363636
Subtract 396 from 420 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:
When dividing 240 by 66, we get 3 with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 10348.63636363
Deduct 198 from 240 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 10348.63636363 with a remainder of 4.2e-08.