Let's divide 6413 by 2
Our goal is to divide 6413 by 2.

Let's proceed to step 1:
When dividing 6 by 2, we get 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 0 after subtracting 6 from 6.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 2

Moving on to step 2:
The number 2 fits into 4 2 times, leaving a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
The remainder is 0 after subtracting 4 from 4.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 2

Let's proceed to step 3:
2 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 320.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Let's proceed to step 4:
2 can be fit into 13 6 times, resulting in a remainder of 1.
The next digit of our result is 6. 
Result so far: 3206.0
Deduct 12 from 13 and we're left with 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 5:
10 divided by 2 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 3206.5
If we subtract 10 from 10, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 6:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3206.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
When dividing 0 by 2, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3206.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 3206.5 with a balance of 0.0.