We're dividing 784679 by 13 
Our goal is to divide 784679 by 13.

Advancing to step 1:
7 divided by 13 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 13

Moving on to step 2:
13 goes into 78 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 78 from 78, we get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 13

Let's proceed to step 3:
When dividing 4 by 13, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 60.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

On to step 4:
When dividing 46 by 13, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 603.0
The remainder is 7 after subtracting 39 from 46.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 13

Moving on to step 5:
The number 13 fits into 77 5 times, leaving a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 6035.0
Deduct 65 from 77 and we're left with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 13

On to step 6:
When dividing 129 by 13, we get 9 with a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 60359.0
If we subtract 117 from 129, we get 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 7:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 60359.9
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.

Going ahead to step 8:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 60359.92
If we take 26 away from 30, we end up 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 9:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 60359.923
Deduct 39 from 40 and we're left with 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 10:
When dividing 10 by 13, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 60359.923
If we take 0 away from 10, we end up 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.

Step 11:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 60359.92307
If we subtract 91 from 100, we 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 12:
The number 13 fits into 90 6 times, leaving a remainder of 12.
The next digit of our result is 6. 
Result so far: 60359.923076
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.

Advancing to step 13:
120 divided by 13 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 60359.9230769
Deduct 117 from 120 and we're left 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.

Moving on to step 14:
When dividing 30 by 13, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 60359.92307692
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.

After the division, we end up with 60359.92307692 and a remainder of 4e-09.