340970 divided by 13 
Let's see how many times 13 fits into 340970.

On to step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us 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 number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 26 from 34, we get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 13

On to step 3:
When dividing 80 by 13, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 26.0
Subtract 78 from 80 to get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 13

On to step 4:
When dividing 29 by 13, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 262.0
If we subtract 26 from 29, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 13

Advancing to step 5:
The number 13 fits into 37 2 times, leaving a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 2622.0
Subtracting 26 from 37 leaves us with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 13

On to step 6:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 26228.0
If we subtract 104 from 110, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
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: 26228.4
Subtract 52 from 60 to get 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 8:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 26228.46
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
13 goes into 20 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 26228.461
Subtracting 13 from 20 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.

Advancing to step 10:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 26228.4615
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 11:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 26228.46153
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.

On to step 12:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 26228.461538
If we take 104 away from 110, we end up 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.

Advancing to step 13:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 26228.4615384
If we subtract 52 from 60, we get 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 14:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26228.46153846
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.

After the division, we end up with 26228.46153846 and a remainder of 2e-09.