We're dividing 586624 by 84 
Let's see how many times 84 fits into 586624.

Going ahead to step 1:
If we divide 5 by 84, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 84

On to step 2:
84 goes into 58 0 times with a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 84

Moving on to step 3:
586 divided by 84 is 6 with a remainder of 82.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 504 from 586 and we're left with 82.
Fetch the next digit (6) from the dividend, attach it to 82 and continue: 826 / 84

Step 4:
The number 84 fits into 826 9 times, leaving a remainder of 70.
The next digit of our result is 9. 
Result so far: 69.0
The remainder is 70 after subtracting 756 from 826.
Include the next digit (2) from the dividend after 70, then repeat: 702 / 84

Let's proceed to step 5:
84 can be fit into 702 8 times, resulting in a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 698.0
Deduct 672 from 702 and we're left with 30.
Take the next digit (4) from the dividend and append it to 30, then repeat: 304 / 84

Going ahead to step 6:
If we divide 304 by 84, we get 3 and a remainder of 52.
Put 3 as the next digit of the answer. 
Result so far: 6983.0
If we subtract 252 from 304, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 7:
84 can be fit into 520 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6983.6
Subtracting 504 from 520 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
When dividing 160 by 84, we get 1 with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 6983.61
If we subtract 84 from 160, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 9:
If we divide 760 by 84, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 6983.619
Subtracting 756 from 760 leaves us 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.

Advancing to step 10:
When dividing 40 by 84, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6983.619
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
When dividing 400 by 84, we get 4 with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 6983.61904
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 12:
The number 84 fits into 640 7 times, leaving a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 6983.619047
If we subtract 588 from 640, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 13:
520 divided by 84 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 6983.6190476
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
When dividing 160 by 84, we get 1 with a remainder of 76.
Record the quotient 1 as the next digit in the result. 
Result so far: 6983.61904761
Subtract 84 from 160 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final result is 6983.61904761 with a remainder of 7.6e-08.