We look at the division of 586644 by 52 
Our goal is to divide 586644 by 52.

Going ahead to step 1:
The number 52 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
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 / 52

Advancing to step 2:
If we divide 58 by 52, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 52 away from 58, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 52

Going ahead to step 3:
If we divide 66 by 52, we get 1 and a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 52 away from 66, we end up with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 52

Moving on to step 4:
When dividing 146 by 52, we get 2 with a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtract 104 from 146 to get 42.
Bring next digit (4) of the dividend behind the 42 and repeat the process: 424 / 52

Moving on to step 5:
If we divide 424 by 52, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1128.0
Subtracting 416 from 424 leaves us with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 52

Going ahead to step 6:
52 goes into 84 1 times with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 11281.0
If we subtract 52 from 84, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
52 goes into 320 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 11281.6
Subtracting 312 from 320 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
52 goes into 80 1 times with a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 11281.61
Subtracting 52 from 80 leaves us 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.

On to step 9:
280 divided by 52 is 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 11281.615
If we subtract 260 from 280, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
If we divide 200 by 52, we get 3 and a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 11281.6153
If we subtract 156 from 200, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 11:
440 divided by 52 is 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 11281.61538
Subtracting 416 from 440 leaves us 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.

Advancing to step 12:
52 goes into 240 4 times with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 11281.615384
If we take 208 away from 240, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
The number 52 fits into 320 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 11281.6153846
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 14:
52 can be fit into 80 1 times, resulting in a remainder of 28.
The next digit of our result is 1. 
Result so far: 11281.61538461
If we take 52 away from 80, 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.

In conclusion, the division gives 11281.61538461 with a balance of 2.8e-08.