6543 divided by 67 
Let's see how many times 67 fits into 6543.

Advancing to step 1:
6 divided by 67 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 67

On to step 2:
65 divided by 67 is 0 with a remainder of 65.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Append the next digit (4) from the dividend to 65 and continue with: 654 / 67

Moving on to step 3:
67 can be fit into 654 9 times, resulting in a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 603 from 654 and we're left with 51.
Include the next digit (3) from the dividend after 51, then repeat: 513 / 67

Moving on to step 4:
The number 67 fits into 513 7 times, leaving a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 97.0
If we subtract 469 from 513, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 5:
The number 67 fits into 440 6 times, leaving a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 97.6
Deduct 402 from 440 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 6:
When dividing 380 by 67, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 97.65
If we take 335 away from 380, 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.

Going ahead to step 7:
If we divide 450 by 67, we get 6 and a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 97.656
If we subtract 402 from 450, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
The number 67 fits into 480 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 97.6567
Subtracting 469 from 480 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
If we divide 110 by 67, we get 1 and a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 97.65671
Deduct 67 from 110 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 10:
The number 67 fits into 430 6 times, leaving a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 97.656716
Subtract 402 from 430 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
67 goes into 280 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 97.6567164
Subtracting 268 from 280 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
If we divide 120 by 67, we get 1 and a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 97.65671641
Subtracting 67 from 120 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The quotient of the division is 97.65671641, and the remainder is 5.3e-08.