We're dividing 372417 by 9 
We want to divide 372417 by 9.

Step 1:
9 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 9

Moving on to step 2:
If we divide 37 by 9, we get 4 and a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 36 from 37, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 9

Step 3:
When dividing 12 by 9, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Deduct 9 from 12 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 9

Going ahead to step 4:
When dividing 34 by 9, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 413.0
Deduct 27 from 34 and we're left with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 9

Step 5:
When dividing 71 by 9, we get 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 4137.0
Deduct 63 from 71 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 9

Let's proceed to step 6:
9 goes into 87 9 times with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 41379.0
Subtract 81 from 87 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
9 goes into 60 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 41379.6
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
60 divided by 9 is 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 41379.66
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 41379.66 and a remainder of 0.006.