We're dividing 586380 by 84 
We want to figure out the number of times 586380 can be divided by 84.

Step 1:
84 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 84

Advancing to step 2:
If we divide 58 by 84, we get 0 and a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 84

Moving on to step 3:
84 goes into 586 6 times with a remainder of 82.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 504 away from 586, we end up with 82.
Bring next digit (3) of the dividend behind the 82 and repeat the process: 823 / 84

On to step 4:
If we divide 823 by 84, we get 9 and a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we subtract 756 from 823, we get 67.
Include the next digit (8) from the dividend after 67, then repeat: 678 / 84

On to step 5:
678 divided by 84 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 698.0
Deduct 672 from 678 and we're left with 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 84

Let's proceed to step 6:
The number 84 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 6980.0
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 7:
When dividing 600 by 84, we get 7 with a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 6980.7
If we take 588 away from 600, 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.

Going ahead to step 8:
The number 84 fits into 120 1 times, leaving a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 6980.71
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.

On to step 9:
84 goes into 360 4 times with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 6980.714
Deduct 336 from 360 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.

Moving on to step 10:
The number 84 fits into 240 2 times, leaving a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 6980.7142
If we subtract 168 from 240, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 11:
720 divided by 84 is 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 6980.71428
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.

Step 12:
480 divided by 84 is 5 with a remainder of 60.
The next digit of our result is 5. 
Result so far: 6980.714285
Subtracting 420 from 480 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 13:
84 can be fit into 600 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 6980.7142857
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.

Step 14:
84 goes into 120 1 times with a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 6980.71428571
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 6980.71428571, with a leftover of 3.6e-08.