We're dividing 525733 by 15 
We want to figure out the number of times 525733 can be divided by 15.

On to step 1:
When dividing 5 by 15, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 15

Advancing to step 2:
If we divide 52 by 15, we get 3 and a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 45 from 52, we get 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 15

On to step 3:
The number 15 fits into 75 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 35.0
Deduct 75 from 75 and we're left with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 15

Moving on to step 4:
15 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 350.0
If we subtract 0 from 7, we get 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 15

Going ahead to step 5:
15 goes into 73 4 times with a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 3504.0
The remainder is 13 after subtracting 60 from 73.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 15

On to step 6:
If we divide 133 by 15, we get 8 and a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 35048.0
The remainder is 13 after subtracting 120 from 133.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
The number 15 fits into 130 8 times, leaving a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 35048.8
If we take 120 away from 130, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 35048.86
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
15 goes into 100 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 35048.866
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 35048.866 with a remainder of 0.001.