8667 ÷ 44 
We want to figure out the number of times 8667 can be divided by 44.

Step 1:
44 goes into 8 0 times with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 44

Advancing to step 2:
44 can be fit into 86 1 times, resulting in a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 44 from 86 to get 42.
Fetch the next digit (6) from the dividend, attach it to 42 and continue: 426 / 44

Let's proceed to step 3:
44 can be fit into 426 9 times, resulting in a remainder of 30.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 396 from 426, we get 30.
Bring next digit (7) of the dividend behind the 30 and repeat the process: 307 / 44

Moving on to step 4:
44 can be fit into 307 6 times, resulting in a remainder of 43.
Use 6 as the next digit of our solution. 
Result so far: 196.0
The remainder is 43 after subtracting 264 from 307.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 5:
44 goes into 430 9 times with a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 196.9
If we subtract 396 from 430, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 6:
44 goes into 340 7 times with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 196.97
Subtract 308 from 340 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
The number 44 fits into 320 7 times, leaving a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 196.977
If we take 308 away from 320, we end up 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.

The quotient of the division is 196.977, and the remainder is 0.0012.