We divide 678958 by 13
We're looking to find how many times 13 goes into 678958.

Moving 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
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

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
Deduct 65 from 67 and we're left with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

Moving on to step 3:
If we divide 28 by 13, we get 2 and a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Subtracting 26 from 28 leaves us with 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 13

Going ahead to step 4:
The number 13 fits into 29 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 522.0
Deduct 26 from 29 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Moving on to step 5:
13 goes into 35 2 times with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 5222.0
If we take 26 away from 35, we end up with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 13

Moving on to step 6:
13 goes into 98 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 52227.0
Subtracting 91 from 98 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.

Moving on to step 7:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 52227.5
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.

Moving on to step 8:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 52227.53
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 9:
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: 52227.538
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.

On to step 10:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 52227.5384
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.

Moving on to step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 52227.53846
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.

Advancing to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
The next digit of our result is 1. 
Result so far: 52227.538461
Deduct 13 from 20 and we're left 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.

Going ahead to step 13:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 52227.5384615
Subtracting 65 from 70 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.

Step 14:
When dividing 50 by 13, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 52227.53846153
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.

In conclusion, the division gives 52227.53846153 with a balance of 1.1e-08.