We divide 535973 by 15
We want to figure out the number of times 535973 can be divided by 15.

On to step 1:
15 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 15

Let's proceed to step 2:
15 goes into 53 3 times with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 8 after subtracting 45 from 53.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 15

On to step 3:
15 goes into 85 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we take 75 away from 85, we end up with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 15

Step 4:
109 divided by 15 is 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 357.0
If we subtract 105 from 109, we get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 15

Step 5:
47 divided by 15 is 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3573.0
If we subtract 45 from 47, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 15

Going ahead to step 6:
When dividing 23 by 15, we get 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 35731.0
If we subtract 15 from 23, we 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.

On to step 7:
The number 15 fits into 80 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 35731.5
If we subtract 75 from 80, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
50 divided by 15 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 35731.53
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 35731.533
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 35731.533, and the remainder is 0.0005.