Let's divide 414817 by 74
We want to divide 414817 by 74.

On to step 1:
4 divided by 74 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 74

Moving on to step 2:
41 divided by 74 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (4) from the dividend to 41 and continue with: 414 / 74

Moving on to step 3:
If we divide 414 by 74, we get 5 and a remainder of 44.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 370 from 414 to get 44.
Append the next digit (8) from the dividend to 44 and continue with: 448 / 74

Advancing to step 4:
74 can be fit into 448 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 56.0
Subtract 444 from 448 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 74

Moving on to step 5:
If we divide 41 by 74, we get 0 and a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 560.0
The remainder is 41 after subtracting 0 from 41.
Take the next digit (7) from the dividend and append it to 41, then repeat: 417 / 74

Step 6:
417 divided by 74 is 5 with a remainder of 47.
Record the quotient 5 as the next digit in the result. 
Result so far: 5605.0
Subtract 370 from 417 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
When dividing 470 by 74, we get 6 with a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 5605.6
The remainder is 26 after subtracting 444 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
74 goes into 260 3 times with a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 5605.63
Deduct 222 from 260 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
74 goes into 380 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5605.635
The remainder is 10 after subtracting 370 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
If we divide 100 by 74, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 5605.6351
Deduct 74 from 100 and we're left 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.

Going ahead to step 11:
The number 74 fits into 260 3 times, leaving a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 5605.63513
Subtract 222 from 260 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
74 goes into 380 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 5605.635135
If we take 370 away from 380, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
When dividing 100 by 74, we get 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 5605.6351351
The remainder is 26 after subtracting 74 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 14:
If we divide 260 by 74, we get 3 and a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 5605.63513513
The remainder is 38 after subtracting 222 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 5605.63513513 and a remainder of 3.8e-08.