We look at the division of 663401 by 685 
We want to figure out the number of times 663401 can be divided by 685.

Advancing to step 1:
When dividing 6 by 685, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 685

On to step 2:
685 can be fit into 66 0 times, resulting in a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (3) from the dividend after 66, then repeat: 663 / 685

Going ahead to step 3:
The number 685 fits into 663 0 times, leaving a remainder of 663.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 663 to get 663.
Append the next digit (4) from the dividend to 663 and continue with: 6634 / 685

Moving on to step 4:
6634 divided by 685 is 9 with a remainder of 469.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 469 after subtracting 6165 from 6634.
Grab the next digit (0) from the dividend, add it to 469, then carry on: 4690 / 685

Step 5:
685 goes into 4690 6 times with a remainder of 580.
Put 6 as the next digit of the answer. 
Result so far: 96.0
Subtracting 4110 from 4690 leaves us with 580.
Grab the next digit (1) from the dividend, add it to 580, then carry on: 5801 / 685

Moving on to step 6:
5801 divided by 685 is 8 with a remainder of 321.
Put 8 as the next digit of the answer. 
Result so far: 968.0
Subtracting 5480 from 5801 leaves us with 321.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3210, and continue the process.

Let's proceed to step 7:
When dividing 3210 by 685, we get 4 with a remainder of 470.
Write down 4 as next digit of the result. 
Result so far: 968.4
The remainder is 470 after subtracting 2740 from 3210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Advancing to step 8:
685 goes into 4700 6 times with a remainder of 590.
The next digit of our result is 6. 
Result so far: 968.46
Subtracting 4110 from 4700 leaves us with 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

On to step 9:
685 goes into 5900 8 times with a remainder of 420.
Record the quotient 8 as the next digit in the result. 
Result so far: 968.468
If we subtract 5480 from 5900, we get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

Step 10:
The number 685 fits into 4200 6 times, leaving a remainder of 90.
Use 6 as the next digit of our solution. 
Result so far: 968.4686
If we subtract 4110 from 4200, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 11:
900 divided by 685 is 1 with a remainder of 215.
Put 1 as the next digit of the answer. 
Result so far: 968.46861
Deduct 685 from 900 and we're left with 215.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2150, and continue the process.

Step 12:
2150 divided by 685 is 3 with a remainder of 95.
Use 3 as the next digit of our solution. 
Result so far: 968.468613
Subtracting 2055 from 2150 leaves us with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 13:
The number 685 fits into 950 1 times, leaving a remainder of 265.
Write down 1 as next digit of the result. 
Result so far: 968.4686131
Subtract 685 from 950 to get 265.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Advancing to step 14:
2650 divided by 685 is 3 with a remainder of 595.
Use 3 as the next digit of our solution. 
Result so far: 968.46861313
Subtracting 2055 from 2650 leaves us with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

The quotient of the division is 968.46861313, and the remainder is 5.95e-07.