406715 divided by 13 
We're looking to find how many times 13 goes into 406715.

Advancing to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 13

Advancing to step 2:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
If we take 39 away from 40, we end up with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 13

Going ahead to step 3:
13 goes into 16 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 31.0
Subtracting 13 from 16 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 13

On to step 4:
If we divide 37 by 13, we get 2 and a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 312.0
Deduct 26 from 37 and we're left with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 13

Moving on to step 5:
When dividing 111 by 13, we get 8 with a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 3128.0
The remainder is 7 after subtracting 104 from 111.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 13

Advancing to step 6:
The number 13 fits into 75 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 31285.0
Subtract 65 from 75 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 31285.7
Deduct 91 from 100 and we're left 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 8:
90 divided by 13 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 31285.76
Subtract 78 from 90 to 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.

Step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 31285.769
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 31285.7692
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.

Advancing to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 31285.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
10 divided by 13 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 31285.76923
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.

Moving on to step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 31285.7692307
The remainder is 9 after subtracting 91 from 100.
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 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 31285.76923076
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.

After the division, we end up with 31285.76923076 and a remainder of 1.2e-08.