We look at the division of 9333965 by 669 
We want to figure out the number of times 9333965 can be divided by 669.

Going ahead to step 1:
The number 669 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 669

On to step 2:
93 divided by 669 is 0 with a remainder of 93.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 93 and we're left with 93.
Grab the next digit (3) from the dividend, add it to 93, then carry on: 933 / 669

Going ahead to step 3:
933 divided by 669 is 1 with a remainder of 264.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 669 from 933, we get 264.
Append the next digit (3) from the dividend to 264 and continue with: 2643 / 669

On to step 4:
669 can be fit into 2643 3 times, resulting in a remainder of 636.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 2007 from 2643 to get 636.
Include the next digit (9) from the dividend after 636, then repeat: 6369 / 669

Advancing to step 5:
The number 669 fits into 6369 9 times, leaving a remainder of 348.
Put 9 as the next digit of the answer. 
Result so far: 139.0
Subtracting 6021 from 6369 leaves us with 348.
Bring next digit (6) of the dividend behind the 348 and repeat the process: 3486 / 669

Moving on to step 6:
The number 669 fits into 3486 5 times, leaving a remainder of 141.
The next digit of our result is 5. 
Result so far: 1395.0
Deduct 3345 from 3486 and we're left with 141.
Fetch the next digit (5) from the dividend, attach it to 141 and continue: 1415 / 669

Step 7:
When dividing 1415 by 669, we get 2 with a remainder of 77.
Record the quotient 2 as the next digit in the result. 
Result so far: 13952.0
The remainder is 77 after subtracting 1338 from 1415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 8:
669 goes into 770 1 times with a remainder of 101.
Put 1 as the next digit of the answer. 
Result so far: 13952.1
Subtract 669 from 770 to get 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

Step 9:
1010 divided by 669 is 1 with a remainder of 341.
Put 1 as the next digit of the answer. 
Result so far: 13952.11
If we take 669 away from 1010, we end up with 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

The final result is 13952.11 with a remainder of 0.341.