513212 ÷ 4 
Let's see how many times 4 fits into 513212.

Going ahead to step 1:
4 goes into 5 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 4 from 5, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 4

Going ahead to step 2:
4 goes into 11 2 times with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 3 after subtracting 8 from 11.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 4

Let's proceed to step 3:
When dividing 33 by 4, we get 8 with a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
If we subtract 32 from 33, we get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 4

Step 4:
12 divided by 4 is 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 1283.0
Deduct 12 from 12 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 4

Moving on to step 5:
4 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 12830.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 4

Going ahead to step 6:
The number 4 fits into 12 3 times, leaving a remainder of 0.
The next digit of our result is 3. 
Result so far: 128303.0
The remainder is 0 after subtracting 12 from 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
0 divided by 4 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 128303.0
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.

Step 8:
4 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 128303.0
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.

In conclusion, the division gives 128303.0 with a balance of 0.0.