Let's divide 564338 by 53
Our goal is to divide 564338 by 53.

On to step 1:
53 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 53

Advancing to step 2:
56 divided by 53 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 53 away from 56, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 53

Step 3:
53 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 34 to get 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 53

Let's proceed to step 4:
53 can be fit into 343 6 times, resulting in a remainder of 25.
The next digit of our result is 6. 
Result so far: 106.0
Deduct 318 from 343 and we're left with 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 53

Moving on to step 5:
The number 53 fits into 253 4 times, leaving a remainder of 41.
The number 4 becomes the next digit in our result. 
Result so far: 1064.0
If we take 212 away from 253, we end up with 41.
Grab the next digit (8) from the dividend, add it to 41, then carry on: 418 / 53

On to step 6:
53 goes into 418 7 times with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 10647.0
If we subtract 371 from 418, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
470 divided by 53 is 8 with a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 10647.8
If we take 424 away from 470, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
If we divide 460 by 53, we get 8 and a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 10647.88
The remainder is 36 after subtracting 424 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 10647.88 with a remaining 0.036.