We look at the division of 667153 by 13 
We want to divide 667153 by 13.

Step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (6) from the dividend to 6 and continue with: 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
Subtract 65 from 66 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

On to step 3:
If we divide 17 by 13, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
If we take 13 away from 17, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 13

On to step 4:
When dividing 41 by 13, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 513.0
If we subtract 39 from 41, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 13

On to step 5:
If we divide 25 by 13, we get 1 and a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 5131.0
If we subtract 13 from 25, we get 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 13

Step 6:
123 divided by 13 is 9 with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 51319.0
The remainder is 6 after subtracting 117 from 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 51319.4
Subtracting 52 from 60 leaves us 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 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 51319.46
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 51319.461
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.

Going ahead to step 10:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 51319.4615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 51319.46153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 51319.461538
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 51319.4615384
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.

Advancing to step 14:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 51319.46153846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 51319.46153846, and the remainder is 2e-09.