We divide 258781 by 19
Our goal is to divide 258781 by 19.

Step 1:
If we divide 2 by 19, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 19

Moving on to step 2:
19 goes into 25 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 19 away from 25, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 19

Advancing to step 3:
The number 19 fits into 68 3 times, leaving a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we subtract 57 from 68, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 19

Going ahead to step 4:
If we divide 117 by 19, we get 6 and a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 136.0
Deduct 114 from 117 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 19

Moving on to step 5:
38 divided by 19 is 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 1362.0
If we take 38 away from 38, we end up with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 19

Going ahead to step 6:
If we divide 1 by 19, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 13620.0
Subtracting 0 from 1 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
When dividing 10 by 19, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 13620.0
Subtracting 0 from 10 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 8:
When dividing 100 by 19, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 13620.05
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
When dividing 50 by 19, we get 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 13620.052
Subtract 38 from 50 to 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.

Going ahead to step 10:
The number 19 fits into 120 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 13620.0526
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 11:
If we divide 60 by 19, we get 3 and a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 13620.05263
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
19 goes into 30 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 13620.052631
If we take 19 away from 30, 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.

Going ahead to step 13:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 13620.0526315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 13620.05263157
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.

The final outcome is 13620.05263157, with a leftover of 1.7e-08.