684666 ÷ 63 
We want to figure out the number of times 684666 can be divided by 63.

Step 1:
When dividing 6 by 63, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 63

On to step 2:
The number 63 fits into 68 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 63 from 68 to get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 63

Moving on to step 3:
If we divide 54 by 63, we get 0 and a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 54 to get 54.
Append the next digit (6) from the dividend to 54 and continue with: 546 / 63

Step 4:
63 goes into 546 8 times with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Subtracting 504 from 546 leaves us with 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 63

Advancing to step 5:
63 goes into 426 6 times with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 1086.0
The remainder is 48 after subtracting 378 from 426.
Take the next digit (6) from the dividend and append it to 48, then repeat: 486 / 63

Let's proceed to step 6:
486 divided by 63 is 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 10867.0
Subtracting 441 from 486 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
450 divided by 63 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 10867.7
The remainder is 9 after subtracting 441 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
63 can be fit into 90 1 times, resulting in a remainder of 27.
The next digit of our result is 1. 
Result so far: 10867.71
Subtract 63 from 90 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 9:
63 can be fit into 270 4 times, resulting in a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 10867.714
Subtracting 252 from 270 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
63 goes into 180 2 times with a remainder of 54.
The next digit of our result is 2. 
Result so far: 10867.7142
Subtract 126 from 180 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 11:
The number 63 fits into 540 8 times, leaving a remainder of 36.
The next digit of our result is 8. 
Result so far: 10867.71428
Subtract 504 from 540 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
63 can be fit into 360 5 times, resulting in a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 10867.714285
The remainder is 45 after subtracting 315 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 13:
450 divided by 63 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 10867.7142857
The remainder is 9 after subtracting 441 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
If we divide 90 by 63, we get 1 and a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 10867.71428571
If we take 63 away from 90, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Our division results in 10867.71428571 with a remaining 2.7e-08.