We divide 585361 by 84
We want to divide 585361 by 84.

Moving on to step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 84

Step 2:
The number 84 fits into 58 0 times, leaving a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 84

Moving on to step 3:
84 goes into 585 6 times with a remainder of 81.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 504 from 585 leaves us with 81.
Bring next digit (3) of the dividend behind the 81 and repeat the process: 813 / 84

Let's proceed to step 4:
84 can be fit into 813 9 times, resulting in a remainder of 57.
Write down 9 as next digit of the result. 
Result so far: 69.0
If we take 756 away from 813, we end up with 57.
Include the next digit (6) from the dividend after 57, then repeat: 576 / 84

Advancing to step 5:
84 goes into 576 6 times with a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 696.0
The remainder is 72 after subtracting 504 from 576.
Fetch the next digit (1) from the dividend, attach it to 72 and continue: 721 / 84

Moving on to step 6:
84 can be fit into 721 8 times, resulting in a remainder of 49.
The next digit of our result is 8. 
Result so far: 6968.0
Subtract 672 from 721 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 7:
84 goes into 490 5 times with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 6968.5
If we subtract 420 from 490, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
The number 84 fits into 700 8 times, leaving a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 6968.58
Subtract 672 from 700 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
The number 84 fits into 280 3 times, leaving a remainder of 28.
The number 3 becomes the next digit in our result. 
Result so far: 6968.583
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 84 is 3 with a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 6968.5833
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 6968.5833 with a remaining 0.00028.