Let's divide 7409 by 19
We're looking to find how many times 19 goes into 7409.

Advancing to step 1:
19 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 19

On to step 2:
When dividing 74 by 19, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 57 from 74 leaves us with 17.
Take the next digit (0) from the dividend and append it to 17, then repeat: 170 / 19

Step 3:
170 divided by 19 is 8 with a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 38.0
Subtracting 152 from 170 leaves us with 18.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 19

On to step 4:
If we divide 189 by 19, we get 9 and a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 389.0
If we subtract 171 from 189, 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.

Advancing to step 5:
180 divided by 19 is 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 389.9
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 6:
19 goes into 90 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 389.94
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
19 can be fit into 140 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 389.947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
19 goes into 70 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 389.9473
If we subtract 57 from 70, we 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.

On to step 9:
When dividing 130 by 19, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 389.94736
Subtract 114 from 130 to 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 10:
19 goes into 160 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 389.947368
Subtract 152 from 160 to get 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 11:
80 divided by 19 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 389.9473684
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.

Step 12:
The number 19 fits into 40 2 times, leaving a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 389.94736842
If we subtract 38 from 40, we 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.

The final result is 389.94736842 with a remainder of 2e-09.