We look at the division of 42674 by 65 
We want to divide 42674 by 65.

Going ahead to step 1:
When dividing 4 by 65, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 65

Let's proceed to step 2:
65 can be fit into 42 0 times, resulting in a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Include the next digit (6) from the dividend after 42, then repeat: 426 / 65

Going ahead to step 3:
When dividing 426 by 65, we get 6 with a remainder of 36.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 390 from 426 leaves us with 36.
Grab the next digit (7) from the dividend, add it to 36, then carry on: 367 / 65

Going ahead to step 4:
When dividing 367 by 65, we get 5 with a remainder of 42.
The next digit of our result is 5. 
Result so far: 65.0
Subtract 325 from 367 to get 42.
Fetch the next digit (4) from the dividend, attach it to 42 and continue: 424 / 65

Advancing to step 5:
65 can be fit into 424 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 656.0
Subtracting 390 from 424 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 6:
340 divided by 65 is 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 656.5
Subtracting 325 from 340 leaves us 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.

Advancing to step 7:
When dividing 150 by 65, we get 2 with a remainder of 20.
The next digit of our result is 2. 
Result so far: 656.52
Deduct 130 from 150 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.

Going ahead to step 8:
If we divide 200 by 65, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 656.523
If we take 195 away from 200, we end up 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.

Moving on to step 9:
If we divide 50 by 65, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 656.523
If we subtract 0 from 50, we 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.

Advancing to step 10:
The number 65 fits into 500 7 times, leaving a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 656.52307
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.

Step 11:
65 can be fit into 450 6 times, resulting in a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 656.523076
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 12:
600 divided by 65 is 9 with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 656.5230769
Subtracting 585 from 600 leaves us 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.

Moving on to step 13:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 656.52307692
Deduct 130 from 150 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.

The final outcome is 656.52307692, with a leftover of 2e-08.