598513 ÷ 84 
Our goal is to divide 598513 by 84.

Moving on to step 1:
5 divided by 84 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 84

Moving on to step 2:
When dividing 59 by 84, we get 0 with a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Include the next digit (8) from the dividend after 59, then repeat: 598 / 84

Let's proceed to step 3:
598 divided by 84 is 7 with a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 588 from 598 leaves us with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 84

On to step 4:
105 divided by 84 is 1 with a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
If we take 84 away from 105, we end up with 21.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 84

Let's proceed to step 5:
211 divided by 84 is 2 with a remainder of 43.
The number 2 becomes the next digit in our result. 
Result so far: 712.0
Subtracting 168 from 211 leaves us with 43.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 84

On to step 6:
84 can be fit into 433 5 times, resulting in a remainder of 13.
The next digit of our result is 5. 
Result so far: 7125.0
The remainder is 13 after subtracting 420 from 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
If we divide 130 by 84, we get 1 and a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 7125.1
If we take 84 away from 130, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
If we divide 460 by 84, we get 5 and a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 7125.15
Deduct 420 from 460 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
When dividing 400 by 84, we get 4 with a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 7125.154
If we take 336 away from 400, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
84 goes into 640 7 times with a remainder of 52.
The next digit of our result is 7. 
Result so far: 7125.1547
Deduct 588 from 640 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 11:
The number 84 fits into 520 6 times, leaving a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 7125.15476
Subtracting 504 from 520 leaves us 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 12:
84 goes into 160 1 times with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 7125.154761
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.

Going ahead to step 13:
When dividing 760 by 84, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 7125.1547619
Subtracting 756 from 760 leaves us 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 14:
84 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 7125.1547619
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 7125.1547619 with a balance of 4e-08.