408419 ÷ 74 
We want to figure out the number of times 408419 can be divided by 74.

On to step 1:
When dividing 4 by 74, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 74

Step 2:
The number 74 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 40, we end up with 40.
Take the next digit (8) from the dividend and append it to 40, then repeat: 408 / 74

Step 3:
74 can be fit into 408 5 times, resulting in a remainder of 38.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 370 from 408 leaves us with 38.
Include the next digit (4) from the dividend after 38, then repeat: 384 / 74

Let's proceed to step 4:
74 can be fit into 384 5 times, resulting in a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 55.0
If we subtract 370 from 384, we get 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 74

On to step 5:
74 can be fit into 141 1 times, resulting in a remainder of 67.
Use 1 as the next digit of our solution. 
Result so far: 551.0
Deduct 74 from 141 and we're left with 67.
Append the next digit (9) from the dividend to 67 and continue with: 679 / 74

Going ahead to step 6:
74 goes into 679 9 times with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 5519.0
Subtract 666 from 679 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.

Going ahead to step 7:
74 goes into 130 1 times with a remainder of 56.
Write down 1 as next digit of the result. 
Result so far: 5519.1
If we subtract 74 from 130, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 8:
74 goes into 560 7 times with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 5519.17
If we take 518 away from 560, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
74 goes into 420 5 times with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5519.175
The remainder is 50 after subtracting 370 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
When dividing 500 by 74, we get 6 with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 5519.1756
Deduct 444 from 500 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 11:
560 divided by 74 is 7 with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 5519.17567
Subtract 518 from 560 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
74 can be fit into 420 5 times, resulting in a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 5519.175675
Subtract 370 from 420 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
74 goes into 500 6 times with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 5519.1756756
Subtract 444 from 500 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 14:
74 can be fit into 560 7 times, resulting in a remainder of 42.
Write down 7 as next digit of the result. 
Result so far: 5519.17567567
If we take 518 away from 560, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 5519.17567567, with a leftover of 4.2e-08.