We look at the division of 414709 by 74 
We want to divide 414709 by 74.

Advancing 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
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 74

On to step 2:
The number 74 fits into 41 0 times, leaving a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 74

Moving on to step 3:
When dividing 414 by 74, we get 5 with a remainder of 44.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 44 after subtracting 370 from 414.
Bring next digit (7) of the dividend behind the 44 and repeat the process: 447 / 74

On to step 4:
447 divided by 74 is 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 444 away from 447, we end up with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 74

Going ahead to step 5:
74 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 560.0
Deduct 0 from 30 and we're left with 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 74

Advancing to step 6:
309 divided by 74 is 4 with a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 5604.0
Subtract 296 from 309 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 7:
The number 74 fits into 130 1 times, leaving a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 5604.1
Subtracting 74 from 130 leaves us 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.

Going ahead to step 8:
If we divide 560 by 74, we get 7 and a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 5604.17
Deduct 518 from 560 and we're left 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.

On to step 9:
74 can be fit into 420 5 times, resulting in a remainder of 50.
The next digit of our result is 5. 
Result so far: 5604.175
If we subtract 370 from 420, we 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.

Let's proceed to step 10:
If we divide 500 by 74, we get 6 and a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 5604.1756
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.

Moving on to step 11:
560 divided by 74 is 7 with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 5604.17567
If we subtract 518 from 560, we 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.

Advancing to step 12:
When dividing 420 by 74, we get 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 5604.175675
If we subtract 370 from 420, we 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.

Moving on to step 13:
The number 74 fits into 500 6 times, leaving a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 5604.1756756
The remainder is 56 after subtracting 444 from 500.
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:
When dividing 560 by 74, we get 7 with a remainder of 42.
Record the quotient 7 as the next digit in the result. 
Result so far: 5604.17567567
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.

The quotient of the division is 5604.17567567, and the remainder is 4.2e-08.