We look at the division of 347417 by 33 
We want to divide 347417 by 33.

Let's proceed to step 1:
When dividing 3 by 33, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 33

Let's proceed to step 2:
34 divided by 33 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 33 from 34 leaves us with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 33

On to step 3:
When dividing 17 by 33, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 17, we get 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 33

Let's proceed to step 4:
33 goes into 174 5 times with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 105.0
If we take 165 away from 174, we end up with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 33

Advancing to step 5:
33 goes into 91 2 times with a remainder of 25.
The next digit of our result is 2. 
Result so far: 1052.0
If we take 66 away from 91, we end up with 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 33

Moving on to step 6:
257 divided by 33 is 7 with a remainder of 26.
The next digit of our result is 7. 
Result so far: 10527.0
If we take 231 away from 257, we end up 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.

Advancing to step 7:
If we divide 260 by 33, we get 7 and a remainder of 29.
The next digit of our result is 7. 
Result so far: 10527.7
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 8:
The number 33 fits into 290 8 times, leaving a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 10527.78
If we take 264 away from 290, we end up 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.

Advancing to step 9:
When dividing 260 by 33, we get 7 with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 10527.787
The remainder is 29 after subtracting 231 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
33 goes into 290 8 times with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 10527.7878
Subtracting 264 from 290 leaves us 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.

On to step 11:
When dividing 260 by 33, we get 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 10527.78787
The remainder is 29 after subtracting 231 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 12:
33 can be fit into 290 8 times, resulting in a remainder of 26.
The next digit of our result is 8. 
Result so far: 10527.787878
If we take 264 away from 290, we end up 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.

On to step 13:
33 can be fit into 260 7 times, resulting in a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 10527.7878787
Deduct 231 from 260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 14:
290 divided by 33 is 8 with a remainder of 26.
Use 8 as the next digit of our solution. 
Result so far: 10527.78787878
Deduct 264 from 290 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.

After the division, we end up with 10527.78787878 and a remainder of 2.6e-08.