8374 ÷ 66 
We want to figure out the number of times 8374 can be divided by 66.

Going ahead to step 1:
66 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (3) of the dividend behind the 8 and repeat the process: 83 / 66

Advancing to step 2:
83 divided by 66 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 66 from 83, we get 17.
Include the next digit (7) from the dividend after 17, then repeat: 177 / 66

Going ahead to step 3:
66 goes into 177 2 times with a remainder of 45.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtract 132 from 177 to get 45.
Append the next digit (4) from the dividend to 45 and continue with: 454 / 66

Moving on to step 4:
66 can be fit into 454 6 times, resulting in a remainder of 58.
Write down 6 as next digit of the result. 
Result so far: 126.0
Subtracting 396 from 454 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 5:
The number 66 fits into 580 8 times, leaving a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 126.8
Subtracting 528 from 580 leaves us 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 6:
66 goes into 520 7 times with a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 126.87
Subtract 462 from 520 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 7:
580 divided by 66 is 8 with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 126.878
Subtract 528 from 580 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
66 can be fit into 520 7 times, resulting in a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 126.8787
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 9:
If we divide 580 by 66, we get 8 and a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 126.87878
Subtracting 528 from 580 leaves us 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.

Step 10:
66 goes into 520 7 times with a remainder of 58.
Use 7 as the next digit of our solution. 
Result so far: 126.878787
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 11:
When dividing 580 by 66, we get 8 with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 126.8787878
Deduct 528 from 580 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.

Going ahead to step 12:
66 can be fit into 520 7 times, resulting in a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 126.87878787
If we subtract 462 from 520, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Our division results in 126.87878787 with a remaining 5.8e-08.