We're dividing 635609 by 53 
We want to figure out the number of times 635609 can be divided by 53.

Moving on to step 1:
53 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the 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

Let's proceed to step 2:
53 can be fit into 63 1 times, resulting in a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 53 from 63 to get 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 53

Moving on to step 3:
53 goes into 105 1 times with a remainder of 52.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 53 away from 105, we end up with 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 53

Advancing to step 4:
If we divide 526 by 53, we get 9 and a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
If we subtract 477 from 526, we get 49.
Append the next digit (0) from the dividend to 49 and continue with: 490 / 53

Step 5:
When dividing 490 by 53, we get 9 with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 1199.0
Subtracting 477 from 490 leaves us with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 53

Going ahead to step 6:
53 goes into 139 2 times with a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 11992.0
If we subtract 106 from 139, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
330 divided by 53 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 11992.6
Subtract 318 from 330 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
When dividing 120 by 53, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 11992.62
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.

Advancing to step 9:
If we divide 140 by 53, we get 2 and a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 11992.622
The remainder is 34 after subtracting 106 from 140.
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 11992.622 and a remainder of 0.0034.