We're dividing 405963 by 84 
We want to figure out the number of times 405963 can be divided by 84.

Let's proceed to step 1:
When dividing 4 by 84, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 84

Let's proceed to step 2:
84 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Grab the next digit (5) from the dividend, add it to 40, then carry on: 405 / 84

Let's proceed to step 3:
When dividing 405 by 84, we get 4 with a remainder of 69.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 69 after subtracting 336 from 405.
Take the next digit (9) from the dividend and append it to 69, then repeat: 699 / 84

Step 4:
If we divide 699 by 84, we get 8 and a remainder of 27.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtract 672 from 699 to get 27.
Fetch the next digit (6) from the dividend, attach it to 27 and continue: 276 / 84

Advancing to step 5:
If we divide 276 by 84, we get 3 and a remainder of 24.
Record the quotient 3 as the next digit in the result. 
Result so far: 483.0
The remainder is 24 after subtracting 252 from 276.
Grab the next digit (3) from the dividend, add it to 24, then carry on: 243 / 84

Advancing to step 6:
84 can be fit into 243 2 times, resulting in a remainder of 75.
Record the quotient 2 as the next digit in the result. 
Result so far: 4832.0
The remainder is 75 after subtracting 168 from 243.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 7:
When dividing 750 by 84, we get 8 with a remainder of 78.
The number 8 becomes the next digit in our result. 
Result so far: 4832.8
If we subtract 672 from 750, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 8:
84 can be fit into 780 9 times, resulting in a remainder of 24.
Write down 9 as next digit of the result. 
Result so far: 4832.89
Deduct 756 from 780 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
240 divided by 84 is 2 with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 4832.892
Deduct 168 from 240 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 10:
If we divide 720 by 84, we get 8 and a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 4832.8928
Deduct 672 from 720 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 11:
84 goes into 480 5 times with a remainder of 60.
The next digit of our result is 5. 
Result so far: 4832.89285
The remainder is 60 after subtracting 420 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 12:
84 can be fit into 600 7 times, resulting in a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 4832.892857
Subtract 588 from 600 to 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.

Advancing to step 13:
When dividing 120 by 84, we get 1 with a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 4832.8928571
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 14:
84 can be fit into 360 4 times, resulting in a remainder of 24.
The next digit of our result is 4. 
Result so far: 4832.89285714
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 4832.89285714 with a balance of 2.4e-08.