We look at the division of 671006 by 13 
Our goal is to divide 671006 by 13.

Moving on to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

Moving on to step 2:
67 divided by 13 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 65 from 67 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 13

Moving on to step 3:
If we divide 21 by 13, we get 1 and a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Subtract 13 from 21 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

On to step 4:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 516.0
If we take 78 away from 80, we end up with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

Step 5:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 5161.0
The remainder is 7 after subtracting 13 from 20.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 13

Let's proceed to step 6:
13 can be fit into 76 5 times, resulting in a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 51615.0
If we take 65 away from 76, we end up 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.

Let's proceed to step 7:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 51615.8
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.

Advancing to step 8:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 51615.84
If we take 52 away from 60, we end up 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.

Going ahead to step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 51615.846
Subtract 78 from 80 to 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.

Moving on to step 10:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 51615.8461
Subtract 13 from 20 to get 7.
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 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 51615.84615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 51615.846153
Subtract 39 from 50 to 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.

Step 13:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 51615.8461538
Subtract 104 from 110 to 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.

Let's proceed to step 14:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 51615.84615384
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.

Our division results in 51615.84615384 with a remaining 8e-09.