We're dividing 533501 by 52 
Our goal is to divide 533501 by 52.

Step 1:
When dividing 5 by 52, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 52

Advancing to step 2:
53 divided by 52 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 1 after subtracting 52 from 53.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 52

Moving on to step 3:
52 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 52

Let's proceed to step 4:
135 divided by 52 is 2 with a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
Subtract 104 from 135 to get 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 52

Advancing to step 5:
310 divided by 52 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 1025.0
Subtracting 260 from 310 leaves us with 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 52

Step 6:
When dividing 501 by 52, we get 9 with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 10259.0
If we subtract 468 from 501, 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:
When dividing 330 by 52, we get 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 10259.6
If we take 312 away from 330, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
If we divide 180 by 52, we get 3 and a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 10259.63
If we take 156 away from 180, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
52 can be fit into 240 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 10259.634
If we subtract 208 from 240, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
52 goes into 320 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 10259.6346
Subtract 312 from 320 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
52 goes into 80 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 10259.63461
Deduct 52 from 80 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
If we divide 280 by 52, we get 5 and a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 10259.634615
Subtracting 260 from 280 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 13:
52 can be fit into 200 3 times, resulting in a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 10259.6346153
The remainder is 44 after subtracting 156 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
When dividing 440 by 52, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 10259.63461538
The remainder is 24 after subtracting 416 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 10259.63461538 with a balance of 2.4e-08.