261358 divided by 19 
We're looking to find how many times 19 goes into 261358.

Advancing to step 1:
2 divided by 19 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 19

Step 2:
The number 19 fits into 26 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we take 19 away from 26, we end up with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 19

Moving on to step 3:
71 divided by 19 is 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 57 from 71 to get 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 19

Advancing to step 4:
When dividing 143 by 19, we get 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 137.0
Subtracting 133 from 143 leaves us with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 19

On to step 5:
105 divided by 19 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 1375.0
Subtracting 95 from 105 leaves us with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 19

On to step 6:
The number 19 fits into 108 5 times, leaving a remainder of 13.
Use 5 as the next digit of our solution. 
Result so far: 13755.0
Subtracting 95 from 108 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 13755.6
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
160 divided by 19 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 13755.68
Deduct 152 from 160 and we're left 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.

Let's proceed to step 9:
19 goes into 80 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 13755.684
Deduct 76 from 80 and we're left 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.

Going ahead to step 10:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 13755.6842
Deduct 38 from 40 and we're left 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.

Advancing to step 11:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 13755.68421
The remainder is 1 after subtracting 19 from 20.
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 12:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 13755.68421
If we take 0 away from 10, we end up 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.

Going ahead to step 13:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 13755.6842105
If we take 95 away from 100, we end up with 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 14:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 13755.68421052
Deduct 38 from 50 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.

In conclusion, the division gives 13755.68421052 with a balance of 1.2e-08.