We're dividing 258642 by 14 
We want to divide 258642 by 14.

Let's proceed to step 1:
The number 14 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 14

Going ahead to step 2:
If we divide 25 by 14, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 14 from 25 and we're left with 11.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 14

Advancing to step 3:
118 divided by 14 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 6 after subtracting 112 from 118.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 14

Going ahead to step 4:
If we divide 66 by 14, we get 4 and a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 184.0
If we subtract 56 from 66, we get 10.
Include the next digit (4) from the dividend after 10, then repeat: 104 / 14

Let's proceed to step 5:
104 divided by 14 is 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 1847.0
The remainder is 6 after subtracting 98 from 104.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 14

On to step 6:
14 goes into 62 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 18474.0
The remainder is 6 after subtracting 56 from 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
14 goes into 60 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 18474.4
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
When dividing 40 by 14, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 18474.42
Deduct 28 from 40 and we're left 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.

Moving on to step 9:
120 divided by 14 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 18474.428
The remainder is 8 after subtracting 112 from 120.
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:
When dividing 80 by 14, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 18474.4285
Subtract 70 from 80 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.

Let's proceed to step 11:
14 goes into 100 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 18474.42857
If we take 98 away from 100, 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.

Moving on to step 12:
14 can be fit into 20 1 times, resulting in a remainder of 6.
The next digit of our result is 1. 
Result so far: 18474.428571
Deduct 14 from 20 and we're left 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.

Let's proceed to step 13:
60 divided by 14 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 18474.4285714
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
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: 18474.42857142
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 18474.42857142 with a remainder of 1.2e-08.