7421 divided by 19 
Our goal is to divide 7421 by 19.

Advancing to step 1:
If we divide 7 by 19, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 19

Going ahead to step 2:
74 divided by 19 is 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 17 after subtracting 57 from 74.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 19

Going ahead to step 3:
When dividing 172 by 19, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 39.0
Subtract 171 from 172 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 19

Let's proceed to step 4:
When dividing 11 by 19, we get 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 390.0
Deduct 0 from 11 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 5:
If we divide 110 by 19, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 390.5
Subtracting 95 from 110 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 6:
150 divided by 19 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 390.57
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
If we divide 170 by 19, we get 8 and a remainder of 18.
The next digit of our result is 8. 
Result so far: 390.578
The remainder is 18 after subtracting 152 from 170.
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 8:
If we divide 180 by 19, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 390.5789
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.

Going ahead to step 9:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 390.57894
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.

Going ahead to step 10:
When dividing 140 by 19, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 390.578947
If we take 133 away from 140, we end up 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.

Let's proceed to step 11:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 390.5789473
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.

On to step 12:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 390.57894736
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.

In conclusion, the division gives 390.57894736 with a balance of 1.6e-08.