Let's divide 253540 by 15
We want to figure out the number of times 253540 can be divided by 15.

Advancing to step 1:
2 divided by 15 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 15

Advancing to step 2:
15 can be fit into 25 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 15 from 25 to get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 15

Going ahead to step 3:
When dividing 103 by 15, we get 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 90 from 103 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 15

Moving on to step 4:
15 goes into 135 9 times with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 169.0
If we take 135 away from 135, we end up with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 15

Advancing to step 5:
4 divided by 15 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 1690.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 15

Moving on to step 6:
When dividing 40 by 15, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 16902.0
Subtracting 30 from 40 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.

Moving on to step 7:
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: 16902.6
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.

Step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 16902.66
If we subtract 90 from 100, we get 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 16902.66, and the remainder is 0.01.