Let's divide 253017 by 14
We want to figure out the number of times 253017 can be divided by 14.

On to step 1:
14 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 14

Going ahead to step 2:
14 goes into 25 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 11 after subtracting 14 from 25.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 14

Let's proceed to step 3:
If we divide 113 by 14, we get 8 and a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtracting 112 from 113 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 14

Moving on to step 4:
When dividing 10 by 14, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 180.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 14

Going ahead to step 5:
The number 14 fits into 101 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 1807.0
If we subtract 98 from 101, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 14

Advancing to step 6:
The number 14 fits into 37 2 times, leaving a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 18072.0
Subtract 28 from 37 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
When dividing 90 by 14, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 18072.6
Subtracting 84 from 90 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.

Step 8:
14 goes into 60 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 18072.64
Subtract 56 from 60 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.

Advancing to step 9:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 18072.642
If we take 28 away from 40, 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.

On to step 10:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 18072.6428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
If we divide 80 by 14, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 18072.64285
Deduct 70 from 80 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.

Advancing to step 12:
14 can be fit into 100 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 18072.642857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
If we divide 20 by 14, we get 1 and a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 18072.6428571
Subtracting 14 from 20 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.

Step 14:
60 divided by 14 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 18072.64285714
If we subtract 56 from 60, we 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.

After the division, we end up with 18072.64285714 and a remainder of 4e-09.