We look at the division of 7419 by 11 
We're looking to find how many times 11 goes into 7419.

Let's proceed to step 1:
11 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 11

Let's proceed to step 2:
The number 11 fits into 74 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 66 from 74 and we're left with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 11

Moving on to step 3:
When dividing 81 by 11, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we subtract 77 from 81, we get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 11

Going ahead to step 4:
When dividing 49 by 11, we get 4 with a remainder of 5.
The next digit of our result is 4. 
Result so far: 674.0
Deduct 44 from 49 and we're left 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.

Step 5:
When dividing 50 by 11, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 674.4
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 6:
60 divided by 11 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 674.45
Deduct 55 from 60 and we're left 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.

Advancing to step 7:
When dividing 50 by 11, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 674.454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
60 divided by 11 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 674.4545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 674.45454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 674.454545
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
11 goes into 50 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 674.4545454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
60 divided by 11 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 674.45454545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 674.45454545 with a balance of 5e-09.