We're dividing 714106 by 13 
We want to divide 714106 by 13.

Let's proceed to step 1:
The number 13 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 13

Step 2:
If we divide 71 by 13, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 65 from 71 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 13

Moving on to step 3:
When dividing 64 by 13, we get 4 with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 54.0
The remainder is 12 after subtracting 52 from 64.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 13

Moving on to step 4:
When dividing 121 by 13, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 549.0
Subtract 117 from 121 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Going ahead to step 5:
40 divided by 13 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 5493.0
Subtracting 39 from 40 leaves us with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 13

Step 6:
16 divided by 13 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 54931.0
Deduct 13 from 16 and we're left 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.

Step 7:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 54931.2
If we take 26 away from 30, we end up 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.

Step 8:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 54931.23
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 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 54931.23
Deduct 0 from 10 and we're left 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.

Let's proceed to step 10:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 54931.2307
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.

Let's proceed to step 11:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 54931.23076
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.

Advancing to step 12:
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: 54931.230769
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 13:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 54931.2307692
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.

Moving on to step 14:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 54931.23076923
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.

In conclusion, the division gives 54931.23076923 with a balance of 1e-09.