We look at the division of 674642 by 65 
We're looking to find how many times 65 goes into 674642.

Moving on to step 1:
65 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 65

On to step 2:
67 divided by 65 is 1 with a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 65 away from 67, we end up with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 65

Step 3:
The number 65 fits into 24 0 times, leaving a remainder of 24.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 24 and we're left with 24.
Fetch the next digit (6) from the dividend, attach it to 24 and continue: 246 / 65

Advancing to step 4:
When dividing 246 by 65, we get 3 with a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 103.0
If we take 195 away from 246, we end up with 51.
Take the next digit (4) from the dividend and append it to 51, then repeat: 514 / 65

On to step 5:
The number 65 fits into 514 7 times, leaving a remainder of 59.
Use 7 as the next digit of our solution. 
Result so far: 1037.0
Deduct 455 from 514 and we're left with 59.
Append the next digit (2) from the dividend to 59 and continue with: 592 / 65

Moving on to step 6:
65 can be fit into 592 9 times, resulting in a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 10379.0
Deduct 585 from 592 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
65 can be fit into 70 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 10379.1
Deduct 65 from 70 and we're left 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.

On to step 8:
65 goes into 50 0 times with a remainder of 50.
The next digit of our result is 0. 
Result so far: 10379.1
If we take 0 away from 50, we end up 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.

On to step 9:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 10379.107
If we take 455 away from 500, we end up 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.

Moving on to step 10:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 10379.1076
If we take 390 away from 450, we end up with 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 11:
When dividing 600 by 65, we get 9 with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 10379.10769
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.

Let's proceed to step 12:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 10379.107692
Subtract 130 from 150 to get 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 13:
If we divide 200 by 65, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 10379.1076923
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.

Let's proceed to step 14:
When dividing 50 by 65, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 10379.1076923
If we take 0 away from 50, we end up 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.

The final result is 10379.1076923 with a remainder of 5e-08.