We look at the division of 646314 by 67 
Our goal is to divide 646314 by 67.

Step 1:
6 divided by 67 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 67

Going ahead to step 2:
When dividing 64 by 67, we get 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Take the next digit (6) from the dividend and append it to 64, then repeat: 646 / 67

Let's proceed to step 3:
67 can be fit into 646 9 times, resulting in a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 603 from 646 leaves us with 43.
Fetch the next digit (3) from the dividend, attach it to 43 and continue: 433 / 67

Let's proceed to step 4:
67 can be fit into 433 6 times, resulting in a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
The remainder is 31 after subtracting 402 from 433.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 67

Advancing to step 5:
When dividing 311 by 67, we get 4 with a remainder of 43.
Use 4 as the next digit of our solution. 
Result so far: 964.0
Subtracting 268 from 311 leaves us with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 67

Advancing to step 6:
67 goes into 434 6 times with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 9646.0
Deduct 402 from 434 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 7:
67 goes into 320 4 times with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 9646.4
Subtracting 268 from 320 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
67 goes into 520 7 times with a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 9646.47
If we subtract 469 from 520, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
If we divide 510 by 67, we get 7 and a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 9646.477
If we take 469 away from 510, 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.

Our division results in 9646.477 with a remaining 0.0041.