Let's divide 253257 by 13
Our goal is to divide 253257 by 13.

Advancing to step 1:
13 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 13

Going ahead to step 2:
If we divide 25 by 13, we get 1 and a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 13 from 25 and we're left with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 13

On to step 3:
123 divided by 13 is 9 with a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 117 from 123 leaves us with 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 13

Advancing to step 4:
13 can be fit into 62 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 194.0
Subtracting 52 from 62 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 13

Moving on to step 5:
If we divide 105 by 13, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 1948.0
If we subtract 104 from 105, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

Moving on to step 6:
If we divide 17 by 13, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 19481.0
The remainder is 4 after subtracting 13 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 19481.3
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 19481.3
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 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 19481.307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 10:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 19481.3076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 19481.30769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 19481.307692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 19481.3076923
If we take 39 away from 40, we end up 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.

Moving on to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 19481.3076923
If we subtract 0 from 10, 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 19481.3076923, and the remainder is 1e-08.