Let's divide 53251 by 15
Our goal is to divide 53251 by 15.

Going ahead to step 1:
5 divided by 15 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 15

On to step 2:
When dividing 53 by 15, we get 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 45 away from 53, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 15

On to step 3:
82 divided by 15 is 5 with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 75 from 82 and we're left with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 15

Advancing to step 4:
If we divide 75 by 15, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 355.0
Subtract 75 from 75 to get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 15

Step 5:
15 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 3550.0
Subtracting 0 from 1 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
If we divide 10 by 15, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 3550.0
Subtract 0 from 10 to 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.

On to step 7:
When dividing 100 by 15, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 3550.06
The remainder is 10 after subtracting 90 from 100.
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:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 3550.066
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.

The quotient of the division is 3550.066, and the remainder is 0.001.