We divide 417165 by 33
Our goal is to divide 417165 by 33.

Advancing to step 1:
If we divide 4 by 33, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 33

Step 2:
41 divided by 33 is 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 33 away from 41, we end up with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 33

Advancing to step 3:
33 goes into 87 2 times with a remainder of 21.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 66 from 87 to get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 33

Advancing to step 4:
33 can be fit into 211 6 times, resulting in a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 126.0
If we subtract 198 from 211, we get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 33

Advancing to step 5:
When dividing 136 by 33, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 1264.0
Subtracting 132 from 136 leaves us with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 33

Moving on to step 6:
33 goes into 45 1 times with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 12641.0
Deduct 33 from 45 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 33 is 3 with a remainder of 21.
The next digit of our result is 3. 
Result so far: 12641.3
Subtracting 99 from 120 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 8:
The number 33 fits into 210 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 12641.36
If we take 198 away from 210, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
33 can be fit into 120 3 times, resulting in a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 12641.363
Deduct 99 from 120 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
When dividing 210 by 33, we get 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 12641.3636
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
If we divide 120 by 33, we get 3 and a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 12641.36363
Deduct 99 from 120 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 12:
33 can be fit into 210 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 12641.363636
Subtracting 198 from 210 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
120 divided by 33 is 3 with a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 12641.3636363
If we take 99 away from 120, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 14:
33 can be fit into 210 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 12641.36363636
Deduct 198 from 210 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 12641.36363636 with a remaining 1.2e-08.