We're dividing 669709 by 13 
We want to divide 669709 by 13.

Moving on to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 13

Advancing to step 2:
13 goes into 66 5 times with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 1 after subtracting 65 from 66.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 13

On to step 3:
If we divide 19 by 13, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we take 13 away from 19, we end up with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 13

Moving on to step 4:
67 divided by 13 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 515.0
The remainder is 2 after subtracting 65 from 67.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 13

Advancing to step 5:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 5151.0
Subtracting 13 from 20 leaves us with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 13

Let's proceed to step 6:
79 divided by 13 is 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 51516.0
Subtracting 78 from 79 leaves us 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.

Moving on to step 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 51516.0
If we subtract 0 from 10, we 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.

Advancing to step 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 51516.07
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.

Going ahead to step 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 51516.076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 51516.0769
Deduct 117 from 120 and we're left 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.

Going ahead to step 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 51516.07692
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.

Going ahead to step 12:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 51516.076923
Subtracting 39 from 40 leaves us 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.

Let's proceed to step 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 51516.076923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 51516.07692307
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.

Our division results in 51516.07692307 with a remaining 9e-09.