We're dividing 586880 by 53 
We're looking to find how many times 53 goes into 586880.

Step 1:
When dividing 5 by 53, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 53

Going ahead to step 2:
58 divided by 53 is 1 with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 53 from 58, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 53

On to step 3:
If we divide 56 by 53, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 53 away from 56, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 53

Going ahead to step 4:
53 goes into 38 0 times with a remainder of 38.
The next digit of our result is 0. 
Result so far: 110.0
Deduct 0 from 38 and we're left with 38.
Take the next digit (8) from the dividend and append it to 38, then repeat: 388 / 53

Moving on to step 5:
When dividing 388 by 53, we get 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 1107.0
If we take 371 away from 388, we end up with 17.
Append the next digit (0) from the dividend to 17 and continue with: 170 / 53

Going ahead to step 6:
53 goes into 170 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 11073.0
If we take 159 away from 170, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
110 divided by 53 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 11073.2
Deduct 106 from 110 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
53 can be fit into 40 0 times, resulting in a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 11073.2
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
53 can be fit into 400 7 times, resulting in a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 11073.207
Subtract 371 from 400 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 10:
290 divided by 53 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 11073.2075
Subtract 265 from 290 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
When dividing 250 by 53, we get 4 with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 11073.20754
Deduct 212 from 250 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 12:
53 can be fit into 380 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 11073.207547
Deduct 371 from 380 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 13:
If we divide 90 by 53, we get 1 and a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 11073.2075471
If we subtract 53 from 90, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 14:
The number 53 fits into 370 6 times, leaving a remainder of 52.
The next digit of our result is 6. 
Result so far: 11073.20754716
Subtract 318 from 370 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 11073.20754716 with a remainder of 5.2e-08.