We look at the division of 643666 by 67 
Let's see how many times 67 fits into 643666.

Moving on to step 1:
6 divided by 67 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 67

Let's proceed to step 2:
If we divide 64 by 67, we get 0 and a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Take the next digit (3) from the dividend and append it to 64, then repeat: 643 / 67

Advancing to step 3:
The number 67 fits into 643 9 times, leaving a remainder of 40.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 40 after subtracting 603 from 643.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 67

Let's proceed to step 4:
When dividing 406 by 67, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 96.0
If we take 402 away from 406, we end up with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 67

Moving on to step 5:
The number 67 fits into 46 0 times, leaving a remainder of 46.
Write down 0 as next digit of the result. 
Result so far: 960.0
Subtract 0 from 46 to get 46.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 67

On to step 6:
The number 67 fits into 466 6 times, leaving a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 9606.0
Subtract 402 from 466 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 7:
The number 67 fits into 640 9 times, leaving a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 9606.9
Deduct 603 from 640 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 8:
370 divided by 67 is 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 9606.95
The remainder is 35 after subtracting 335 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
When dividing 350 by 67, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 9606.955
The remainder is 15 after subtracting 335 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 9606.955, and the remainder is 0.0015.