16257 divided by 13 
Our goal is to divide 16257 by 13.

Going ahead to step 1:
13 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

Going ahead to step 2:
16 divided by 13 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 3 after subtracting 13 from 16.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 13

Let's proceed to step 3:
The number 13 fits into 32 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we subtract 26 from 32, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 13

Let's proceed to step 4:
If we divide 65 by 13, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 125.0
Subtract 65 from 65 to get 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 13

Advancing to step 5:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 1250.0
If we take 0 away from 7, we end up 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.

Moving on to step 6:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1250.5
Subtracting 65 from 70 leaves us 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.

Advancing to step 7:
When dividing 50 by 13, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 1250.53
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 1250.538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 1250.5384
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 1250.53846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 11:
13 goes into 20 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1250.538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1250.5384615
If we take 65 away from 70, we end up 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.

Let's proceed to step 13:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 1250.53846153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 1250.53846153 with a remainder of 1.1e-08.