457213 ÷ 84 
Our goal is to divide 457213 by 84.

Moving on to step 1:
When dividing 4 by 84, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 84

On to step 2:
45 divided by 84 is 0 with a remainder of 45.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 45 after subtracting 0 from 45.
Append the next digit (7) from the dividend to 45 and continue with: 457 / 84

Step 3:
84 can be fit into 457 5 times, resulting in a remainder of 37.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 420 from 457 and we're left with 37.
Append the next digit (2) from the dividend to 37 and continue with: 372 / 84

On to step 4:
84 goes into 372 4 times with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 54.0
Subtract 336 from 372 to get 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 84

Let's proceed to step 5:
84 can be fit into 361 4 times, resulting in a remainder of 25.
Record the quotient 4 as the next digit in the result. 
Result so far: 544.0
Subtracting 336 from 361 leaves us with 25.
Include the next digit (3) from the dividend after 25, then repeat: 253 / 84

On to step 6:
253 divided by 84 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 5443.0
If we take 252 away from 253, we end up 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.

Step 7:
84 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5443.0
If we subtract 0 from 10, we 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 8:
When dividing 100 by 84, we get 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 5443.01
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
The number 84 fits into 160 1 times, leaving a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 5443.011
Deduct 84 from 160 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

In conclusion, the division gives 5443.011 with a balance of 0.0076.