13415333 divided by 966 
We want to figure out the number of times 13415333 can be divided by 966.

Step 1:
The number 966 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 966

On to step 2:
When dividing 13 by 966, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 966

Moving on to step 3:
134 divided by 966 is 0 with a remainder of 134.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 134 to get 134.
Bring next digit (1) of the dividend behind the 134 and repeat the process: 1341 / 966

Let's proceed to step 4:
966 goes into 1341 1 times with a remainder of 375.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 375 after subtracting 966 from 1341.
Include the next digit (5) from the dividend after 375, then repeat: 3755 / 966

Step 5:
966 can be fit into 3755 3 times, resulting in a remainder of 857.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 857 after subtracting 2898 from 3755.
Bring next digit (3) of the dividend behind the 857 and repeat the process: 8573 / 966

Moving on to step 6:
When dividing 8573 by 966, we get 8 with a remainder of 845.
Write down 8 as next digit of the result. 
Result so far: 138.0
If we subtract 7728 from 8573, we get 845.
Bring next digit (3) of the dividend behind the 845 and repeat the process: 8453 / 966

Moving on to step 7:
If we divide 8453 by 966, we get 8 and a remainder of 725.
The next digit of our result is 8. 
Result so far: 1388.0
If we take 7728 away from 8453, we end up with 725.
Grab the next digit (3) from the dividend, add it to 725, then carry on: 7253 / 966

Moving on to step 8:
966 goes into 7253 7 times with a remainder of 491.
Put 7 as the next digit of the answer. 
Result so far: 13887.0
Subtracting 6762 from 7253 leaves us with 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

Step 9:
966 can be fit into 4910 5 times, resulting in a remainder of 80.
Record the quotient 5 as the next digit in the result. 
Result so far: 13887.5
If we take 4830 away from 4910, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 10:
When dividing 800 by 966, we get 0 with a remainder of 800.
The next digit of our result is 0. 
Result so far: 13887.5
If we subtract 0 from 800, we get 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8000, and continue the process.

Going ahead to step 11:
When dividing 8000 by 966, we get 8 with a remainder of 272.
Write down 8 as next digit of the result. 
Result so far: 13887.508
Subtracting 7728 from 8000 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Moving on to step 12:
When dividing 2720 by 966, we get 2 with a remainder of 788.
The next digit of our result is 2. 
Result so far: 13887.5082
If we take 1932 away from 2720, we end up with 788.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7880, and continue the process.

Advancing to step 13:
When dividing 7880 by 966, we get 8 with a remainder of 152.
Put 8 as the next digit of the answer. 
Result so far: 13887.50828
Subtract 7728 from 7880 to get 152.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Let's proceed to step 14:
The number 966 fits into 1520 1 times, leaving a remainder of 554.
The number 1 becomes the next digit in our result. 
Result so far: 13887.508281
Subtract 966 from 1520 to get 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Step 15:
966 can be fit into 5540 5 times, resulting in a remainder of 710.
Use 5 as the next digit of our solution. 
Result so far: 13887.5082815
If we subtract 4830 from 5540, we get 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7100, and continue the process.

Step 16:
If we divide 7100 by 966, we get 7 and a remainder of 338.
Use 7 as the next digit of our solution. 
Result so far: 13887.50828157
If we take 6762 away from 7100, we end up with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Our division results in 13887.50828157 with a remaining 3.38e-07.