We look at the division of 643613 by 84 
We want to divide 643613 by 84.

Let's proceed to step 1:
6 divided by 84 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 84

Advancing to step 2:
If we divide 64 by 84, we get 0 and a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (3) from the dividend, attach it to 64 and continue: 643 / 84

Let's proceed to step 3:
84 can be fit into 643 7 times, resulting in a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 588 from 643 to get 55.
Bring next digit (6) of the dividend behind the 55 and repeat the process: 556 / 84

Step 4:
84 goes into 556 6 times with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 76.0
If we subtract 504 from 556, we get 52.
Include the next digit (1) from the dividend after 52, then repeat: 521 / 84

On to step 5:
521 divided by 84 is 6 with a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 766.0
Subtracting 504 from 521 leaves us with 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 84

Advancing to step 6:
If we divide 173 by 84, we get 2 and a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 7662.0
Deduct 168 from 173 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 84, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 7662.0
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
If we divide 500 by 84, we get 5 and a remainder of 80.
The number 5 becomes the next digit in our result. 
Result so far: 7662.05
If we subtract 420 from 500, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
800 divided by 84 is 9 with a remainder of 44.
The next digit of our result is 9. 
Result so far: 7662.059
The remainder is 44 after subtracting 756 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 10:
If we divide 440 by 84, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 7662.0595
If we take 420 away from 440, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
200 divided by 84 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 7662.05952
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
If we divide 320 by 84, we get 3 and a remainder of 68.
Use 3 as the next digit of our solution. 
Result so far: 7662.059523
The remainder is 68 after subtracting 252 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
84 can be fit into 680 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 7662.0595238
The remainder is 8 after subtracting 672 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
84 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 7662.0595238
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 7662.0595238 with a balance of 8e-08.