585779 ÷ 53 
Our goal is to divide 585779 by 53.

Let's proceed to step 1:
The number 53 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 53

Step 2:
58 divided by 53 is 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 53 from 58, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 53

Going ahead to step 3:
53 goes into 55 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 53 from 55 and we're left with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 53

Moving on to step 4:
The number 53 fits into 27 0 times, leaving a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 110.0
Subtract 0 from 27 to get 27.
Grab the next digit (7) from the dividend, add it to 27, then carry on: 277 / 53

On to step 5:
53 can be fit into 277 5 times, resulting in a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 1105.0
Subtracting 265 from 277 leaves us with 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 53

On to step 6:
When dividing 129 by 53, we get 2 with a remainder of 23.
The number 2 becomes the next digit in our result. 
Result so far: 11052.0
Subtracting 106 from 129 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
53 goes into 230 4 times with a remainder of 18.
The next digit of our result is 4. 
Result so far: 11052.4
Deduct 212 from 230 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
If we divide 180 by 53, we get 3 and a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 11052.43
Subtract 159 from 180 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
53 goes into 210 3 times with a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 11052.433
Subtracting 159 from 210 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 11052.433 with a remaining 0.0051.