7417 divided by 18 
We want to divide 7417 by 18.

Advancing to step 1:
7 divided by 18 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 18

Advancing to step 2:
18 goes into 74 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 72 away from 74, we end up with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 18

Step 3:
If we divide 21 by 18, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 41.0
If we take 18 away from 21, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 18

On to step 4:
If we divide 37 by 18, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 412.0
If we take 36 away from 37, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 5:
18 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 412.0
If we take 0 away from 10, 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.

Let's proceed to step 6:
The number 18 fits into 100 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 412.05
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
When dividing 100 by 18, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 412.055
Deduct 90 from 100 and we're left 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.

The quotient of the division is 412.055, and the remainder is 0.001.