We're dividing 202567 by 15 
We want to figure out the number of times 202567 can be divided by 15.

On to step 1:
When dividing 2 by 15, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 15

Step 2:
When dividing 20 by 15, we get 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 15 from 20 leaves us with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 15

On to step 3:
If we divide 52 by 15, we get 3 and a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 7 after subtracting 45 from 52.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 15

Moving on to step 4:
75 divided by 15 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
If we subtract 75 from 75, we get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 15

Advancing to step 5:
If we divide 6 by 15, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 1350.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 15

Advancing to step 6:
When dividing 67 by 15, we get 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 13504.0
Deduct 60 from 67 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 13504.4
The remainder is 10 after subtracting 60 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
100 divided by 15 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 13504.46
Deduct 90 from 100 and we're left 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.

Going ahead to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 13504.466
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.

The quotient of the division is 13504.466, and the remainder is 0.001.