We're dividing 664669 by 13 
Our goal is to divide 664669 by 13.

Moving on to step 1:
13 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 13

Going ahead to step 2:
When dividing 66 by 13, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 65 from 66 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 13

Let's proceed to step 3:
14 divided by 13 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we subtract 13 from 14, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 13

Going ahead to step 4:
When dividing 16 by 13, we get 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 511.0
The remainder is 3 after subtracting 13 from 16.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Going ahead to step 5:
When dividing 36 by 13, we get 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 5112.0
Subtracting 26 from 36 leaves us with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 13

Let's proceed to step 6:
When dividing 109 by 13, we get 8 with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 51128.0
Subtracting 104 from 109 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 51128.3
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 51128.38
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 51128.384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 51128.3846
If we take 78 away from 80, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
If we divide 20 by 13, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 51128.38461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 51128.384615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 13:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 51128.3846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 51128.38461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 51128.38461538, and the remainder is 6e-09.