678254 divided by 13 
We're looking to find how many times 13 goes into 678254.

Advancing to step 1:
13 goes into 6 0 times with 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.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Moving on to step 2:
When dividing 67 by 13, we get 5 with 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.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 13

Advancing to step 3:
If we divide 28 by 13, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtract 26 from 28 to get 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

Step 4:
13 goes into 22 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 521.0
Subtracting 13 from 22 leaves us with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Let's proceed to step 5:
13 goes into 95 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 5217.0
Subtracting 91 from 95 leaves us with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Advancing to step 6:
If we divide 44 by 13, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 52173.0
If we subtract 39 from 44, we 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.

Going ahead to step 7:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 52173.3
Deduct 39 from 50 and we're left 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 8:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 52173.38
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.

Let's proceed to step 9:
13 goes into 60 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 52173.384
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.

Let's proceed to step 10:
When dividing 80 by 13, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 52173.3846
Deduct 78 from 80 and we're left 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.

Moving on to step 11:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 52173.38461
If we subtract 13 from 20, we 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.

Advancing 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: 52173.384615
If we subtract 65 from 70, we 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.

Let's proceed to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 52173.3846153
If we subtract 39 from 50, we 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.

Moving on to step 14:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 52173.38461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 52173.38461538 with a remainder of 6e-09.