670965 divided by 13 
Our goal is to divide 670965 by 13.

Going ahead to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 13

Going ahead to step 2:
The number 13 fits into 67 5 times, leaving a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 67, we end up with 2.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 13

On to step 3:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtract 13 from 20 to get 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 13

Moving on to step 4:
13 goes into 79 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 516.0
Deduct 78 from 79 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 13

Step 5:
If we divide 16 by 13, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 5161.0
If we subtract 13 from 16, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Advancing to step 6:
The number 13 fits into 35 2 times, leaving a remainder of 9.
Put 2 as the next digit of the answer. 
Result so far: 51612.0
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.

Let's proceed to step 7:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 51612.6
Subtracting 78 from 90 leaves us 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 8:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 51612.69
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:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 51612.692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 51612.6923
If we take 39 away from 40, we end up with 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:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 51612.6923
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.

Let's proceed to step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 51612.692307
Subtract 91 from 100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 51612.6923076
If we take 78 away from 90, we end up 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.

Going ahead to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 51612.69230769
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 result is 51612.69230769 with a remainder of 3e-09.