We look at the division of 585594 by 84 
We want to figure out the number of times 585594 can be divided by 84.

Advancing to step 1:
The number 84 fits into 5 0 times, leaving 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.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 84

Going ahead to step 2:
When dividing 58 by 84, we get 0 with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 84

Advancing to step 3:
84 can be fit into 585 6 times, resulting in a remainder of 81.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 504 from 585 to get 81.
Include the next digit (5) from the dividend after 81, then repeat: 815 / 84

Let's proceed to step 4:
The number 84 fits into 815 9 times, leaving a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we subtract 756 from 815, we get 59.
Bring next digit (9) of the dividend behind the 59 and repeat the process: 599 / 84

On to step 5:
When dividing 599 by 84, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 697.0
If we take 588 away from 599, we end up with 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 84

Step 6:
114 divided by 84 is 1 with a remainder of 30.
The next digit of our result is 1. 
Result so far: 6971.0
If we subtract 84 from 114, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
84 goes into 300 3 times with a remainder of 48.
Record the quotient 3 as the next digit in the result. 
Result so far: 6971.3
Subtract 252 from 300 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
84 goes into 480 5 times with a remainder of 60.
Write down 5 as next digit of the result. 
Result so far: 6971.35
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.

Moving on to step 9:
600 divided by 84 is 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 6971.357
The remainder is 12 after subtracting 588 from 600.
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 10:
When dividing 120 by 84, we get 1 with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 6971.3571
If we take 84 away from 120, we end up 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.

Moving on to step 11:
84 can be fit into 360 4 times, resulting in a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 6971.35714
Subtract 336 from 360 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
84 goes into 240 2 times with a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 6971.357142
Subtract 168 from 240 to 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 13:
The number 84 fits into 720 8 times, leaving a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 6971.3571428
If we take 672 away from 720, we end up 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.

Advancing to step 14:
The number 84 fits into 480 5 times, leaving a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 6971.35714285
If we subtract 420 from 480, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final outcome is 6971.35714285, with a leftover of 6e-08.