Let's divide 643654 by 67
Let's see how many times 67 fits into 643654.

Advancing to step 1:
6 divided by 67 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 67

Let's proceed to step 2:
The number 67 fits into 64 0 times, leaving a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Fetch the next digit (3) from the dividend, attach it to 64 and continue: 643 / 67

On to step 3:
When dividing 643 by 67, we get 9 with a remainder of 40.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 603 from 643, we get 40.
Fetch the next digit (6) from the dividend, attach it to 40 and continue: 406 / 67

Step 4:
67 can be fit into 406 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 96.0
If we take 402 away from 406, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 67

Step 5:
67 goes into 45 0 times with a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 960.0
The remainder is 45 after subtracting 0 from 45.
Fetch the next digit (4) from the dividend, attach it to 45 and continue: 454 / 67

Moving on to step 6:
67 can be fit into 454 6 times, resulting in a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 9606.0
Deduct 402 from 454 and we're left 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.

On to step 7:
67 can be fit into 520 7 times, resulting in a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 9606.7
Subtract 469 from 520 to 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.

Advancing to step 8:
The number 67 fits into 510 7 times, leaving a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 9606.77
Deduct 469 from 510 and we're left 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.

After the division, we end up with 9606.77 and a remainder of 0.041.