We're dividing 558600 by 65 
Let's see how many times 65 fits into 558600.

Step 1:
If we divide 5 by 65, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 65

Advancing to step 2:
If we divide 55 by 65, we get 0 and a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Bring next digit (8) of the dividend behind the 55 and repeat the process: 558 / 65

On to step 3:
The number 65 fits into 558 8 times, leaving a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 520 from 558 to get 38.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 65

Going ahead to step 4:
65 goes into 386 5 times with a remainder of 61.
Put 5 as the next digit of the answer. 
Result so far: 85.0
Deduct 325 from 386 and we're left with 61.
Fetch the next digit (0) from the dividend, attach it to 61 and continue: 610 / 65

Step 5:
65 can be fit into 610 9 times, resulting in a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 859.0
Subtract 585 from 610 to get 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 65

Step 6:
65 goes into 250 3 times with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 8593.0
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
550 divided by 65 is 8 with a remainder of 30.
The next digit of our result is 8. 
Result so far: 8593.8
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
65 can be fit into 300 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 8593.84
Subtract 260 from 300 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.

Let's proceed to step 9:
400 divided by 65 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 8593.846
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
When dividing 100 by 65, we get 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 8593.8461
Deduct 65 from 100 and we're left 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 11:
When dividing 350 by 65, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 8593.84615
Subtract 325 from 350 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.

Step 12:
When dividing 250 by 65, we get 3 with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 8593.846153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 13:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 8593.8461538
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
If we divide 300 by 65, we get 4 and a remainder of 40.
Record the quotient 4 as the next digit in the result. 
Result so far: 8593.84615384
If we subtract 260 from 300, we 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.

After the division, we end up with 8593.84615384 and a remainder of 4e-08.