We're dividing 582137 by 65 
Let's see how many times 65 fits into 582137.

Step 1:
The number 65 fits into 5 0 times, leaving 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.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 65

Let's proceed to step 2:
65 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Append the next digit (2) from the dividend to 58 and continue with: 582 / 65

On to step 3:
If we divide 582 by 65, we get 8 and a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 520 from 582 leaves us with 62.
Append the next digit (1) from the dividend to 62 and continue with: 621 / 65

Advancing to step 4:
When dividing 621 by 65, we get 9 with a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 89.0
Subtracting 585 from 621 leaves us with 36.
Grab the next digit (3) from the dividend, add it to 36, then carry on: 363 / 65

Going ahead to step 5:
The number 65 fits into 363 5 times, leaving a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 895.0
If we take 325 away from 363, we end up with 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 65

Advancing to step 6:
The number 65 fits into 387 5 times, leaving a remainder of 62.
Use 5 as the next digit of our solution. 
Result so far: 8955.0
Subtract 325 from 387 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 7:
The number 65 fits into 620 9 times, leaving a remainder of 35.
Record the quotient 9 as the next digit in the result. 
Result so far: 8955.9
Subtract 585 from 620 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 8955.95
Deduct 325 from 350 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
When dividing 250 by 65, we get 3 with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 8955.953
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 10:
65 can be fit into 550 8 times, resulting in a remainder of 30.
The next digit of our result is 8. 
Result so far: 8955.9538
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.

On to step 11:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 8955.95384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 12:
65 can be fit into 400 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 8955.953846
Subtract 390 from 400 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
If we divide 100 by 65, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 8955.9538461
If we take 65 away from 100, we end up 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 14:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 8955.95384615
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 8955.95384615 and a remainder of 2.5e-08.