675381 divided by 13 
We're looking to find how many times 13 goes into 675381.

Advancing to step 1:
13 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 13

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
If we subtract 65 from 67, we get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 13

Advancing to step 3:
The number 13 fits into 25 1 times, leaving a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we subtract 13 from 25, we get 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 13

Advancing to step 4:
When dividing 123 by 13, we get 9 with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 519.0
The remainder is 6 after subtracting 117 from 123.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 13

Let's proceed to step 5:
13 can be fit into 68 5 times, resulting in a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5195.0
Subtracting 65 from 68 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 13

Going ahead to step 6:
When dividing 31 by 13, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 51952.0
Subtracting 26 from 31 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.

Advancing to step 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 51952.3
If we take 39 away from 50, 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.

Going ahead to step 8:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 51952.38
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.

Advancing to step 9:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 51952.384
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.

Let's proceed to step 10:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 51952.3846
Subtracting 78 from 80 leaves us 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.

Advancing to step 11:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 51952.38461
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 51952.384615
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.

Step 13:
When dividing 50 by 13, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 51952.3846153
If we take 39 away from 50, 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.

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: 51952.38461538
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.

In conclusion, the division gives 51952.38461538 with a balance of 6e-09.