213828 divided by 713 
Our goal is to divide 213828 by 713.

Let's proceed to step 1:
713 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 713

Moving on to step 2:
The number 713 fits into 21 0 times, leaving a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 713

Moving on to step 3:
When dividing 213 by 713, we get 0 with a remainder of 213.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 213 and we're left with 213.
Take the next digit (8) from the dividend and append it to 213, then repeat: 2138 / 713

Moving on to step 4:
The number 713 fits into 2138 2 times, leaving a remainder of 712.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 1426 from 2138, we get 712.
Fetch the next digit (2) from the dividend, attach it to 712 and continue: 7122 / 713

Moving on to step 5:
7122 divided by 713 is 9 with a remainder of 705.
Use 9 as the next digit of our solution. 
Result so far: 29.0
The remainder is 705 after subtracting 6417 from 7122.
Grab the next digit (8) from the dividend, add it to 705, then carry on: 7058 / 713

Let's proceed to step 6:
The number 713 fits into 7058 9 times, leaving a remainder of 641.
Write down 9 as next digit of the result. 
Result so far: 299.0
Subtracting 6417 from 7058 leaves us with 641.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6410, and continue the process.

Advancing to step 7:
6410 divided by 713 is 8 with a remainder of 706.
Record the quotient 8 as the next digit in the result. 
Result so far: 299.8
Subtracting 5704 from 6410 leaves us with 706.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7060, and continue the process.

Step 8:
7060 divided by 713 is 9 with a remainder of 643.
The next digit of our result is 9. 
Result so far: 299.89
Subtracting 6417 from 7060 leaves us with 643.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6430, and continue the process.

On to step 9:
6430 divided by 713 is 9 with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 299.899
If we take 6417 away from 6430, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 299.899 with a balance of 0.0013.