Let's divide 261124 by 19
We want to divide 261124 by 19.

On to step 1:
If we divide 2 by 19, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 19

On to step 2:
19 can be fit into 26 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 19 from 26 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 19

Going ahead to step 3:
19 goes into 71 3 times with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 57 from 71, we get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 19

Advancing to step 4:
The number 19 fits into 141 7 times, leaving a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Subtract 133 from 141 to get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 19

Let's proceed to step 5:
When dividing 82 by 19, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 1374.0
Subtract 76 from 82 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 19

Going ahead to step 6:
64 divided by 19 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 13743.0
If we subtract 57 from 64, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 13743.3
Subtracting 57 from 70 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.

Advancing to step 8:
When dividing 130 by 19, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 13743.36
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.

Step 9:
19 goes into 160 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 13743.368
Subtracting 152 from 160 leaves us 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.

Moving on to step 10:
80 divided by 19 is 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 13743.3684
Subtract 76 from 80 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
40 divided by 19 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 13743.36842
The remainder is 2 after subtracting 38 from 40.
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:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 13743.368421
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 13:
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: 13743.368421
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 14:
If we divide 100 by 19, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 13743.36842105
Subtracting 95 from 100 leaves us 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.

The final result is 13743.36842105 with a remainder of 5e-09.