We're dividing 675586 by 65 
Let's see how many times 65 fits into 675586.

Going ahead to step 1:
When dividing 6 by 65, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 65

On to step 2:
65 goes into 67 1 times with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 65 away from 67, we end up with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 65

Let's proceed to step 3:
65 can be fit into 25 0 times, resulting in a remainder of 25.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 25 to get 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 65

Advancing to step 4:
If we divide 255 by 65, we get 3 and a remainder of 60.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
The remainder is 60 after subtracting 195 from 255.
Fetch the next digit (8) from the dividend, attach it to 60 and continue: 608 / 65

Advancing to step 5:
The number 65 fits into 608 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 1039.0
If we take 585 away from 608, we end up with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 65

Moving on to step 6:
When dividing 236 by 65, we get 3 with a remainder of 41.
Use 3 as the next digit of our solution. 
Result so far: 10393.0
If we take 195 away from 236, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 7:
410 divided by 65 is 6 with a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 10393.6
Deduct 390 from 410 and we're left with 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 8:
If we divide 200 by 65, we get 3 and a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 10393.63
If we subtract 195 from 200, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 10393.63
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 10393.6307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 10393.63076
If we subtract 390 from 450, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 12:
The number 65 fits into 600 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 10393.630769
If we take 585 away from 600, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 10393.6307692
Subtracting 130 from 150 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
65 goes into 200 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 10393.63076923
Subtracting 195 from 200 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 10393.63076923 and a remainder of 5e-09.