345711 ÷ 13 
We want to figure out the number of times 345711 can be divided by 13.

Step 1:
3 divided by 13 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 13

On to step 2:
The number 13 fits into 34 2 times, leaving 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.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 13

Moving on to step 3:
If we divide 85 by 13, we get 6 and a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 26.0
Subtracting 78 from 85 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 13

Step 4:
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: 265.0
Deduct 65 from 77 and we're left with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 13

Moving on to step 5:
13 goes into 121 9 times with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 2659.0
Subtract 117 from 121 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 13

Advancing to step 6:
41 divided by 13 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 26593.0
If we take 39 away from 41, we end up 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.

Advancing to step 7:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 26593.1
If we subtract 13 from 20, we get 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 8:
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: 26593.15
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 9:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 26593.153
If we take 39 away from 50, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
110 divided by 13 is 8 with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 26593.1538
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 11:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 26593.15384
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.

Step 12:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 26593.153846
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.

Let's proceed to step 13:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 26593.1538461
If we subtract 13 from 20, we get 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 14:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 26593.15384615
Deduct 65 from 70 and we're left 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.

Our division results in 26593.15384615 with a remaining 5e-09.