30419 ÷ 28 
We're looking to find how many times 28 goes into 30419.

Step 1:
When dividing 3 by 28, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 28

Advancing to step 2:
The number 28 fits into 30 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 2 after subtracting 28 from 30.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 28

Advancing to step 3:
24 divided by 28 is 0 with a remainder of 24.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 24 leaves us with 24.
Grab the next digit (1) from the dividend, add it to 24, then carry on: 241 / 28

Let's proceed to step 4:
28 can be fit into 241 8 times, resulting in a remainder of 17.
The next digit of our result is 8. 
Result so far: 108.0
If we subtract 224 from 241, we get 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 28

On to step 5:
When dividing 179 by 28, we get 6 with a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 1086.0
The remainder is 11 after subtracting 168 from 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
28 can be fit into 110 3 times, resulting in a remainder of 26.
The next digit of our result is 3. 
Result so far: 1086.3
Subtracting 84 from 110 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
260 divided by 28 is 9 with a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 1086.39
If we take 252 away from 260, we end up 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.

Step 8:
The number 28 fits into 80 2 times, leaving a remainder of 24.
Put 2 as the next digit of the answer. 
Result so far: 1086.392
Deduct 56 from 80 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 9:
28 goes into 240 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 1086.3928
Subtracting 224 from 240 leaves us 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 10:
When dividing 160 by 28, we get 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 1086.39285
Subtracting 140 from 160 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
If we divide 200 by 28, we get 7 and a remainder of 4.
The next digit of our result is 7. 
Result so far: 1086.392857
If we take 196 away from 200, we end up 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.

Going ahead to step 12:
When dividing 40 by 28, we get 1 with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1086.3928571
If we take 28 away from 40, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
28 goes into 120 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 1086.39285714
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 1086.39285714 and a remainder of 8e-09.