We're dividing 84302 by 13 
Our goal is to divide 84302 by 13.

Moving on to step 1:
When dividing 8 by 13, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 13

Going ahead to step 2:
The number 13 fits into 84 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 78 away from 84, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

Let's proceed to step 3:
When dividing 63 by 13, we get 4 with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 64.0
The remainder is 11 after subtracting 52 from 63.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 13

Step 4:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 648.0
If we subtract 104 from 110, we get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 13

Advancing to step 5:
13 goes into 62 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 6484.0
If we subtract 52 from 62, 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.

Moving on to step 6:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 6484.7
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 6484.76
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 6484.769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 9:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 6484.7692
If we take 26 away from 30, we end up 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.

Let's proceed to step 10:
When dividing 40 by 13, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 6484.76923
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6484.76923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 6484.7692307
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 6484.76923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 6484.76923076 and a remainder of 1.2e-08.