We look at the division of 601749 by 65 
Let's see how many times 65 fits into 601749.

Step 1:
65 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 65

Moving on to step 2:
The number 65 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 60 and we're left with 60.
Take the next digit (1) from the dividend and append it to 60, then repeat: 601 / 65

Step 3:
65 can be fit into 601 9 times, resulting in a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtracting 585 from 601 leaves us with 16.
Take the next digit (7) from the dividend and append it to 16, then repeat: 167 / 65

On to step 4:
65 can be fit into 167 2 times, resulting in a remainder of 37.
The number 2 becomes the next digit in our result. 
Result so far: 92.0
If we take 130 away from 167, we end up with 37.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 65

Step 5:
65 goes into 374 5 times with a remainder of 49.
The next digit of our result is 5. 
Result so far: 925.0
Subtracting 325 from 374 leaves us with 49.
Grab the next digit (9) from the dividend, add it to 49, then carry on: 499 / 65

Step 6:
When dividing 499 by 65, we get 7 with a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 9257.0
If we subtract 455 from 499, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
440 divided by 65 is 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 9257.6
Deduct 390 from 440 and we're left with 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 8:
500 divided by 65 is 7 with a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 9257.67
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 9:
65 goes into 450 6 times with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 9257.676
Subtract 390 from 450 to 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.

On to step 10:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 9257.6769
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
When dividing 150 by 65, we get 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 9257.67692
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
If we divide 200 by 65, we get 3 and a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 9257.676923
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.

On to step 13:
65 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 9257.676923
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 14:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 9257.67692307
Deduct 455 from 500 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 9257.67692307 with a remainder of 4.5e-08.