586387 divided by 53 
We want to figure out the number of times 586387 can be divided by 53.

On to step 1:
5 divided by 53 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 53

Advancing to step 2:
58 divided by 53 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 53 from 58 leaves us with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 53

Advancing to step 3:
When dividing 56 by 53, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 53 from 56 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 53

On to step 4:
If we divide 33 by 53, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
Subtract 0 from 33 to get 33.
Append the next digit (8) from the dividend to 33 and continue with: 338 / 53

Going ahead to step 5:
If we divide 338 by 53, we get 6 and a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 1106.0
The remainder is 20 after subtracting 318 from 338.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 53

On to step 6:
The number 53 fits into 207 3 times, leaving a remainder of 48.
Write down 3 as next digit of the result. 
Result so far: 11063.0
If we take 159 away from 207, 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.

Step 7:
When dividing 480 by 53, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 11063.9
Subtracting 477 from 480 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
53 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 11063.9
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
The number 53 fits into 300 5 times, leaving a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 11063.905
Subtracting 265 from 300 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 10:
The number 53 fits into 350 6 times, leaving a remainder of 32.
The next digit of our result is 6. 
Result so far: 11063.9056
Deduct 318 from 350 and we're left 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.

Advancing to step 11:
53 can be fit into 320 6 times, resulting in a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 11063.90566
Deduct 318 from 320 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 11063.90566 with a remaining 2e-06.