We divide 109743 by 19
Let's see how many times 19 fits into 109743.

On to step 1:
When dividing 1 by 19, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 19

Moving on to step 2:
When dividing 10 by 19, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 19

On to step 3:
If we divide 109 by 19, we get 5 and a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 95 from 109 and we're left with 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 19

Moving on to step 4:
The number 19 fits into 147 7 times, leaving a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 57.0
If we take 133 away from 147, we end up with 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 19

Advancing to step 5:
19 goes into 144 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 577.0
Subtracting 133 from 144 leaves us with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 19

Going ahead to step 6:
The number 19 fits into 113 5 times, leaving a remainder of 18.
Record the quotient 5 as the next digit in the result. 
Result so far: 5775.0
Subtract 95 from 113 to 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.

Let's proceed to step 7:
19 goes into 180 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 5775.9
Subtract 171 from 180 to 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:
19 goes into 90 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 5775.94
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 9:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 5775.947
If we subtract 133 from 140, 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.

Advancing to step 10:
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: 5775.9473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 11:
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: 5775.94736
Deduct 114 from 130 and we're left 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.

Let's proceed to step 12:
19 can be fit into 160 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 5775.947368
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.

On to 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: 5775.9473684
Subtracting 76 from 80 leaves us 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.

Let's proceed to step 14:
40 divided by 19 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 5775.94736842
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.

After the division, we end up with 5775.94736842 and a remainder of 2e-09.