We're dividing 344582 by 13 
We're looking to find how many times 13 goes into 344582.

Advancing to step 1:
13 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 13

Step 2:
13 goes into 34 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 26 from 34 and we're left with 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 13

On to step 3:
84 divided by 13 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtracting 78 from 84 leaves us with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 13

Let's proceed to step 4:
The number 13 fits into 65 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 265.0
Deduct 65 from 65 and we're left with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 13

Going ahead to step 5:
If we divide 8 by 13, we get 0 and a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 2650.0
If we subtract 0 from 8, we get 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 13

Step 6:
When dividing 82 by 13, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 26506.0
Deduct 78 from 82 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.

Advancing to step 7:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 26506.3
If we subtract 39 from 40, we 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.

Advancing to step 8:
13 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 26506.3
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 9:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 26506.307
Subtracting 91 from 100 leaves us 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.

Let's proceed to step 10:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 26506.3076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 26506.30769
Subtracting 117 from 120 leaves us 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 12:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 26506.307692
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.

On to step 13:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 26506.3076923
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.

Advancing to step 14:
10 divided by 13 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 26506.3076923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 26506.3076923, and the remainder is 1e-08.