677340 divided by 13 
We want to divide 677340 by 13.

Going ahead to step 1:
6 divided by 13 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 13

Moving on to step 2:
When dividing 67 by 13, we get 5 with a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 2 after subtracting 65 from 67.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 13

Step 3:
The number 13 fits into 27 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 52.0
Subtract 26 from 27 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 13

On to step 4:
The number 13 fits into 13 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 521.0
The remainder is 0 after subtracting 13 from 13.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 13

Moving on to step 5:
If we divide 4 by 13, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 5210.0
If we take 0 away from 4, we end up with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

Moving on to step 6:
40 divided by 13 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 52103.0
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 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 52103.0
Subtracting 0 from 10 leaves us 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.

Going ahead to step 8:
If we divide 100 by 13, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 52103.07
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.

Moving on to step 9:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 52103.076
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.

On to step 10:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 52103.0769
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 11:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 52103.07692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
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: 52103.076923
If we take 39 away from 40, we end up 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.

Let's proceed to step 13:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 52103.076923
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.

Going ahead to step 14:
13 goes into 100 7 times with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 52103.07692307
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.

The quotient of the division is 52103.07692307, and the remainder is 9e-09.