We look at the division of 456509 by 84 
We want to figure out the number of times 456509 can be divided by 84.

Going ahead to step 1:
4 divided by 84 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 84

Advancing to step 2:
If we divide 45 by 84, we get 0 and a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 45 to get 45.
Grab the next digit (6) from the dividend, add it to 45, then carry on: 456 / 84

Advancing to step 3:
The number 84 fits into 456 5 times, leaving a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 420 from 456 and we're left with 36.
Fetch the next digit (5) from the dividend, attach it to 36 and continue: 365 / 84

Going ahead to step 4:
If we divide 365 by 84, we get 4 and a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 54.0
If we take 336 away from 365, we end up with 29.
Append the next digit (0) from the dividend to 29 and continue with: 290 / 84

Step 5:
84 goes into 290 3 times with a remainder of 38.
The next digit of our result is 3. 
Result so far: 543.0
Subtract 252 from 290 to get 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 84

Advancing to step 6:
The number 84 fits into 389 4 times, leaving a remainder of 53.
Record the quotient 4 as the next digit in the result. 
Result so far: 5434.0
Deduct 336 from 389 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 7:
84 goes into 530 6 times with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 5434.6
The remainder is 26 after subtracting 504 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
84 can be fit into 260 3 times, resulting in a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 5434.63
Subtract 252 from 260 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
The number 84 fits into 80 0 times, leaving a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 5434.63
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 10:
800 divided by 84 is 9 with a remainder of 44.
The next digit of our result is 9. 
Result so far: 5434.6309
If we take 756 away from 800, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 11:
84 goes into 440 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 5434.63095
The remainder is 20 after subtracting 420 from 440.
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 12:
84 can be fit into 200 2 times, resulting in a remainder of 32.
The next digit of our result is 2. 
Result so far: 5434.630952
If we subtract 168 from 200, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
84 can be fit into 320 3 times, resulting in a remainder of 68.
The next digit of our result is 3. 
Result so far: 5434.6309523
If we take 252 away from 320, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 14:
If we divide 680 by 84, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 5434.63095238
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.

The quotient of the division is 5434.63095238, and the remainder is 8e-09.