Let's divide 74419 by 19
We want to divide 74419 by 19.

On to step 1:
The number 19 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 19

On to step 2:
19 goes into 74 3 times with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 57 from 74 leaves us with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 19

Moving on to step 3:
When dividing 174 by 19, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 39.0
If we subtract 171 from 174, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 19

Let's proceed to step 4:
31 divided by 19 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 391.0
If we take 19 away from 31, we end up with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 19

Going ahead to step 5:
If we divide 129 by 19, we get 6 and a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 3916.0
Deduct 114 from 129 and we're left 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.

Moving on to step 6:
150 divided by 19 is 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 3916.7
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
When dividing 170 by 19, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 3916.78
If we take 152 away from 170, we end up with 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 8:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 3916.789
If we take 171 away from 180, we end up with 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:
If we divide 90 by 19, we get 4 and a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 3916.7894
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.

Step 10:
140 divided by 19 is 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 3916.78947
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.

Going ahead to step 11:
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: 3916.789473
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.

Advancing to step 12:
When dividing 130 by 19, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 3916.7894736
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.

Step 13:
When dividing 160 by 19, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 3916.78947368
Deduct 152 from 160 and we're left 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.

In conclusion, the division gives 3916.78947368 with a balance of 8e-09.