We're dividing 636860 by 53 
Our goal is to divide 636860 by 53.

Going ahead to step 1:
If we divide 6 by 53, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 53

Going ahead to step 2:
If we divide 63 by 53, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 53 from 63 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 53

Going ahead to step 3:
53 can be fit into 106 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 106 from 106, we get 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 53

Moving on to step 4:
53 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 120.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 53

On to step 5:
If we divide 86 by 53, we get 1 and a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 1201.0
If we subtract 53 from 86, we get 33.
Take the next digit (0) from the dividend and append it to 33, then repeat: 330 / 53

On to step 6:
If we divide 330 by 53, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 12016.0
Deduct 318 from 330 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
If we divide 120 by 53, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 12016.2
Deduct 106 from 120 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
140 divided by 53 is 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 12016.22
If we take 106 away from 140, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 12016.22 and a remainder of 0.034.