We're dividing 684859 by 63 
We want to figure out the number of times 684859 can be divided by 63.

Advancing to step 1:
When dividing 6 by 63, we get 0 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.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 63

Step 2:
If we divide 68 by 63, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 63 from 68 and we're left with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 63

Going ahead to step 3:
63 goes into 54 0 times with a remainder of 54.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 54 after subtracting 0 from 54.
Include the next digit (8) from the dividend after 54, then repeat: 548 / 63

On to step 4:
When dividing 548 by 63, we get 8 with a remainder of 44.
Put 8 as the next digit of the answer. 
Result so far: 108.0
Deduct 504 from 548 and we're left with 44.
Append the next digit (5) from the dividend to 44 and continue with: 445 / 63

Moving on to step 5:
63 can be fit into 445 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 1087.0
The remainder is 4 after subtracting 441 from 445.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 63

Let's proceed to step 6:
If we divide 49 by 63, we get 0 and a remainder of 49.
Use 0 as the next digit of our solution. 
Result so far: 10870.0
The remainder is 49 after subtracting 0 from 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
When dividing 490 by 63, we get 7 with a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 10870.7
If we subtract 441 from 490, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 8:
The number 63 fits into 490 7 times, leaving a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 10870.77
Subtracting 441 from 490 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

The quotient of the division is 10870.77, and the remainder is 0.049.