We look at the division of 579597 by 53 
We're looking to find how many times 53 goes into 579597.

Let's proceed to step 1:
If we divide 5 by 53, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 53

Going ahead to step 2:
If we divide 57 by 53, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 53 from 57, we get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 53

On to step 3:
53 goes into 49 0 times with a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 49 and we're left with 49.
Take the next digit (5) from the dividend and append it to 49, then repeat: 495 / 53

Advancing to step 4:
The number 53 fits into 495 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
If we subtract 477 from 495, we get 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 53

Going ahead to step 5:
53 goes into 189 3 times with a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 1093.0
If we take 159 away from 189, we end up with 30.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 53

Let's proceed to step 6:
53 goes into 307 5 times with a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 10935.0
Subtracting 265 from 307 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
When dividing 420 by 53, we get 7 with a remainder of 49.
Use 7 as the next digit of our solution. 
Result so far: 10935.7
Subtracting 371 from 420 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 8:
If we divide 490 by 53, we get 9 and a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 10935.79
If we subtract 477 from 490, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
53 can be fit into 130 2 times, resulting in a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 10935.792
Deduct 106 from 130 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:
When dividing 240 by 53, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 10935.7924
If we take 212 away from 240, 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.

Moving on to step 11:
If we divide 280 by 53, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 10935.79245
Subtract 265 from 280 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
150 divided by 53 is 2 with a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 10935.792452
Subtracting 106 from 150 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
The number 53 fits into 440 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 10935.7924528
If we take 424 away from 440, 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.

Let's proceed to step 14:
53 can be fit into 160 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 10935.79245283
Subtract 159 from 160 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 10935.79245283 and a remainder of 1e-09.