We divide 413209 by 74
Our goal is to divide 413209 by 74.

Step 1:
When dividing 4 by 74, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 74

Going ahead to step 2:
The number 74 fits into 41 0 times, leaving a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (3) from the dividend, attach it to 41 and continue: 413 / 74

Moving on to step 3:
413 divided by 74 is 5 with a remainder of 43.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 370 from 413, we get 43.
Bring next digit (2) of the dividend behind the 43 and repeat the process: 432 / 74

On to step 4:
432 divided by 74 is 5 with a remainder of 62.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
If we take 370 away from 432, we end up with 62.
Grab the next digit (0) from the dividend, add it to 62, then carry on: 620 / 74

On to step 5:
74 goes into 620 8 times with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 558.0
If we subtract 592 from 620, we get 28.
Fetch the next digit (9) from the dividend, attach it to 28 and continue: 289 / 74

Advancing to step 6:
74 can be fit into 289 3 times, resulting in a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 5583.0
If we subtract 222 from 289, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
74 goes into 670 9 times with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 5583.9
Subtracting 666 from 670 leaves us 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.

Let's proceed to step 8:
74 can be fit into 40 0 times, resulting in a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5583.9
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
The number 74 fits into 400 5 times, leaving a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 5583.905
Subtracting 370 from 400 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
If we divide 300 by 74, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 5583.9054
The remainder is 4 after subtracting 296 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
If we divide 40 by 74, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 5583.9054
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 12:
The number 74 fits into 400 5 times, leaving a remainder of 30.
The next digit of our result is 5. 
Result so far: 5583.905405
The remainder is 30 after subtracting 370 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
If we divide 300 by 74, we get 4 and a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 5583.9054054
If we take 296 away from 300, 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.

On to step 14:
40 divided by 74 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5583.9054054
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 5583.9054054 and a remainder of 4e-08.