259850 divided by 19 
Our goal is to divide 259850 by 19.

Let's proceed to step 1:
2 divided by 19 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 19

Moving on to step 2:
25 divided by 19 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 19 from 25 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 19

Going ahead to step 3:
19 can be fit into 69 3 times, resulting in a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Deduct 57 from 69 and we're left with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 19

On to step 4:
128 divided by 19 is 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 136.0
If we subtract 114 from 128, we get 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 19

Let's proceed to step 5:
The number 19 fits into 145 7 times, leaving a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 1367.0
Deduct 133 from 145 and we're left with 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 19

Advancing to step 6:
If we divide 120 by 19, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 13676.0
If we take 114 away from 120, we end up 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.

Going ahead to step 7:
The number 19 fits into 60 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 13676.3
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
19 goes into 30 1 times with a remainder of 11.
The next digit of our result is 1. 
Result so far: 13676.31
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
19 goes into 110 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 13676.315
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 10:
19 goes into 150 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 13676.3157
Deduct 133 from 150 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 11:
If we divide 170 by 19, we get 8 and a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 13676.31578
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 13676.315789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
If we divide 90 by 19, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 13676.3157894
If we take 76 away from 90, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 14:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 13676.31578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 13676.31578947 and a remainder of 7e-09.