670173 ÷ 13 
We're looking to find how many times 13 goes into 670173.

On to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 13

Going ahead to step 2:
13 can be fit into 67 5 times, resulting in a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 65 from 67, we get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 13

Advancing to step 3:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we take 13 away from 20, we end up with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 13

Let's proceed to step 4:
71 divided by 13 is 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 515.0
Subtract 65 from 71 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

On to step 5:
The number 13 fits into 67 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5155.0
If we take 65 away from 67, we end up with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Let's proceed to step 6:
If we divide 23 by 13, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 51551.0
Deduct 13 from 23 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.

Going ahead to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 51551.7
Deduct 91 from 100 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.

Going ahead to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 51551.76
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.

Advancing to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 51551.769
Subtract 117 from 120 to get 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 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 51551.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
13 goes into 40 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 51551.76923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 51551.76923
Subtracting 0 from 10 leaves us 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.

Going ahead to step 13:
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: 51551.7692307
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.

Advancing to step 14:
90 divided by 13 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 51551.76923076
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.

In conclusion, the division gives 51551.76923076 with a balance of 1.2e-08.