Let's divide 350417 by 66
We want to figure out the number of times 350417 can be divided by 66.

Advancing to step 1:
66 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 66

Advancing to step 2:
When dividing 35 by 66, we get 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 66

Let's proceed to step 3:
350 divided by 66 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 330 away from 350, we end up with 20.
Bring next digit (4) of the dividend behind the 20 and repeat the process: 204 / 66

Going ahead to step 4:
The number 66 fits into 204 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 198 from 204, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 66

Advancing to step 5:
66 can be fit into 61 0 times, resulting in a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 530.0
The remainder is 61 after subtracting 0 from 61.
Bring next digit (7) of the dividend behind the 61 and repeat the process: 617 / 66

Advancing to step 6:
The number 66 fits into 617 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 5309.0
Deduct 594 from 617 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
66 can be fit into 230 3 times, resulting in a remainder of 32.
The next digit of our result is 3. 
Result so far: 5309.3
Subtracting 198 from 230 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
66 goes into 320 4 times with a remainder of 56.
The number 4 becomes the next digit in our result. 
Result so far: 5309.34
Deduct 264 from 320 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
When dividing 560 by 66, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 5309.348
If we take 528 away from 560, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
66 can be fit into 320 4 times, resulting in a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 5309.3484
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
560 divided by 66 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 5309.34848
Subtracting 528 from 560 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
320 divided by 66 is 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 5309.348484
If we subtract 264 from 320, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 13:
When dividing 560 by 66, we get 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 5309.3484848
If we take 528 away from 560, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 14:
The number 66 fits into 320 4 times, leaving a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 5309.34848484
Deduct 264 from 320 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 5309.34848484 with a balance of 5.6e-08.