We divide 670375 by 13
Let's see how many times 13 fits into 670375.

Advancing to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Step 2:
13 can be fit into 67 5 times, resulting in a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 65 from 67 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 13

Step 3:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 51.0
Deduct 13 from 20 and we're left with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

Going ahead to step 4:
73 divided by 13 is 5 with a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 515.0
Subtracting 65 from 73 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 13

On to step 5:
13 goes into 87 6 times with a remainder of 9.
The next digit of our result is 6. 
Result so far: 5156.0
The remainder is 9 after subtracting 78 from 87.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Step 6:
13 can be fit into 95 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 51567.0
Subtracting 91 from 95 leaves us 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.

Let's proceed to step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 51567.3
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
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: 51567.3
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 51567.307
If we take 91 away from 100, we end up 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.

Step 10:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 51567.3076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 51567.30769
If we take 117 away from 120, we end up 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.

Advancing to step 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 51567.307692
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.

On to step 13:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 51567.3076923
Subtract 39 from 40 to 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.

Moving on to step 14:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 51567.3076923
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.

After the division, we end up with 51567.3076923 and a remainder of 1e-08.