We divide 105240 by 19
Our goal is to divide 105240 by 19.

Step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 19

Let's proceed to step 2:
When dividing 10 by 19, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 19

Advancing to step 3:
19 can be fit into 105 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 10 after subtracting 95 from 105.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 19

Let's proceed to step 4:
If we divide 102 by 19, we get 5 and a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 55.0
Subtract 95 from 102 to get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 19

Let's proceed to step 5:
When dividing 74 by 19, we get 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 553.0
The remainder is 17 after subtracting 57 from 74.
Fetch the next digit (0) from the dividend, attach it to 17 and continue: 170 / 19

Going ahead to step 6:
When dividing 170 by 19, we get 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 5538.0
If we subtract 152 from 170, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 5538.9
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
90 divided by 19 is 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 5538.94
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
When dividing 140 by 19, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 5538.947
Subtract 133 from 140 to 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.

Advancing to step 10:
When dividing 70 by 19, we get 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 5538.9473
If we take 57 away from 70, we end up 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 11:
When dividing 130 by 19, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 5538.94736
Subtracting 114 from 130 leaves us with 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 12:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 5538.947368
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.

Step 13:
The number 19 fits into 80 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 5538.9473684
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.

Moving on to step 14:
19 goes into 40 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 5538.94736842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 5538.94736842 and a remainder of 2e-09.