We're dividing 259946 by 14 
We want to divide 259946 by 14.

Going ahead to step 1:
If we divide 2 by 14, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 14

On to step 2:
The number 14 fits into 25 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 1.0
If we take 14 away from 25, we end up with 11.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 14

Advancing to step 3:
14 can be fit into 119 8 times, resulting in a remainder of 7.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 112 from 119 and we're left with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 14

Let's proceed to step 4:
14 goes into 79 5 times with a remainder of 9.
The next digit of our result is 5. 
Result so far: 185.0
The remainder is 9 after subtracting 70 from 79.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 14

Advancing to step 5:
The number 14 fits into 94 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 1856.0
Subtract 84 from 94 to get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 14

On to step 6:
14 goes into 106 7 times with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 18567.0
Subtract 98 from 106 to 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.

Moving on to step 7:
The number 14 fits into 80 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 18567.5
If we subtract 70 from 80, 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.

Let's proceed to step 8:
14 goes into 100 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 18567.57
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.

Step 9:
When dividing 20 by 14, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 18567.571
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.

Advancing to step 10:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 18567.5714
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.

On to step 11:
40 divided by 14 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 18567.57142
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.

Advancing to step 12:
If we divide 120 by 14, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 18567.571428
If we take 112 away from 120, we end up 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 13:
When dividing 80 by 14, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 18567.5714285
Subtracting 70 from 80 leaves us 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.

Step 14:
When dividing 100 by 14, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 18567.57142857
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.

The final result is 18567.57142857 with a remainder of 2e-09.