Let's divide 684819 by 53
We want to divide 684819 by 53.

Going ahead to step 1:
If we divide 6 by 53, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 53

On to step 2:
When dividing 68 by 53, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 15 after subtracting 53 from 68.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 53

Advancing to step 3:
If we divide 154 by 53, we get 2 and a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 106 away from 154, we end up with 48.
Bring next digit (8) of the dividend behind the 48 and repeat the process: 488 / 53

Advancing to step 4:
If we divide 488 by 53, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 129.0
Deduct 477 from 488 and we're left with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 53

Let's proceed to step 5:
The number 53 fits into 111 2 times, leaving a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 1292.0
If we take 106 away from 111, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 53

Step 6:
53 can be fit into 59 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 12921.0
Subtract 53 from 59 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
60 divided by 53 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 12921.1
Subtracting 53 from 60 leaves us 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.

Moving on to step 8:
70 divided by 53 is 1 with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 12921.11
If we subtract 53 from 70, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final result is 12921.11 with a remainder of 0.017.