965675 divided by 13 
We want to figure out the number of times 965675 can be divided by 13.

Let's proceed to step 1:
When dividing 9 by 13, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 13

Going ahead to step 2:
The number 13 fits into 96 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 91 from 96 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 13

On to step 3:
13 can be fit into 55 4 times, resulting in a remainder of 3.
The next digit of our result is 4. 
Result so far: 74.0
If we take 52 away from 55, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 13

Step 4:
The number 13 fits into 36 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 742.0
If we subtract 26 from 36, we get 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 13

Step 5:
When dividing 107 by 13, we get 8 with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 7428.0
Deduct 104 from 107 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Let's proceed to step 6:
13 can be fit into 35 2 times, resulting in a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 74282.0
Deduct 26 from 35 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 74282.6
The remainder is 12 after subtracting 78 from 90.
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 8:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 74282.69
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
30 divided by 13 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 74282.692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 74282.6923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 74282.6923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 74282.692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
13 goes into 90 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 74282.6923076
Deduct 78 from 90 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.

Let's proceed to step 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 74282.69230769
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 74282.69230769, with a leftover of 3e-09.