We look at the division of 684817 by 63 
Our goal is to divide 684817 by 63.

Advancing to step 1:
63 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 63

Moving on to step 2:
63 goes into 68 1 times with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 63 from 68, we get 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 63

Step 3:
When dividing 54 by 63, we get 0 with a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 54, we end up with 54.
Append the next digit (8) from the dividend to 54 and continue with: 548 / 63

Going ahead to step 4:
548 divided by 63 is 8 with a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
If we subtract 504 from 548, we get 44.
Grab the next digit (1) from the dividend, add it to 44, then carry on: 441 / 63

Step 5:
63 can be fit into 441 7 times, resulting in a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 1087.0
Subtracting 441 from 441 leaves us with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 63

Let's proceed to step 6:
When dividing 7 by 63, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 10870.0
Deduct 0 from 7 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 63, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 10870.1
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
The number 63 fits into 70 1 times, leaving a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 10870.11
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 10870.11, and the remainder is 0.007.