666111 ÷ 67 
We want to divide 666111 by 67.

Moving on to step 1:
If we divide 6 by 67, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 67

Step 2:
66 divided by 67 is 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 66 leaves us with 66.
Take the next digit (6) from the dividend and append it to 66, then repeat: 666 / 67

Going ahead to step 3:
67 goes into 666 9 times with a remainder of 63.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 603 from 666 leaves us with 63.
Bring next digit (1) of the dividend behind the 63 and repeat the process: 631 / 67

Let's proceed to step 4:
The number 67 fits into 631 9 times, leaving a remainder of 28.
Use 9 as the next digit of our solution. 
Result so far: 99.0
If we subtract 603 from 631, we get 28.
Fetch the next digit (1) from the dividend, attach it to 28 and continue: 281 / 67

Let's proceed to step 5:
When dividing 281 by 67, we get 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 994.0
If we subtract 268 from 281, we get 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 67

Going ahead to step 6:
When dividing 131 by 67, we get 1 with a remainder of 64.
Write down 1 as next digit of the result. 
Result so far: 9941.0
The remainder is 64 after subtracting 67 from 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
If we divide 640 by 67, we get 9 and a remainder of 37.
The next digit of our result is 9. 
Result so far: 9941.9
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:
The number 67 fits into 370 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 9941.95
If we subtract 335 from 370, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
The number 67 fits into 350 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 9941.955
Subtract 335 from 350 to get 15.
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 9941.955, and the remainder is 0.0015.