6681 ÷ 74 
Our goal is to divide 6681 by 74.

Advancing to step 1:
74 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 74

Going ahead to step 2:
The number 74 fits into 66 0 times, leaving a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Bring next digit (8) of the dividend behind the 66 and repeat the process: 668 / 74

On to step 3:
74 can be fit into 668 9 times, resulting in a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 2 after subtracting 666 from 668.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 74

On to step 4:
When dividing 21 by 74, we get 0 with a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
Subtract 0 from 21 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 5:
210 divided by 74 is 2 with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 90.2
Subtract 148 from 210 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 6:
The number 74 fits into 620 8 times, leaving a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 90.28
If we subtract 592 from 620, we 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.

Moving on to step 7:
74 can be fit into 280 3 times, resulting in a remainder of 58.
Put 3 as the next digit of the answer. 
Result so far: 90.283
If we take 222 away from 280, 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.

Step 8:
580 divided by 74 is 7 with a remainder of 62.
Record the quotient 7 as the next digit in the result. 
Result so far: 90.2837
Deduct 518 from 580 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 9:
74 can be fit into 620 8 times, resulting in a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 90.28378
Subtract 592 from 620 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.

On to step 10:
When dividing 280 by 74, we get 3 with a remainder of 58.
Write down 3 as next digit of the result. 
Result so far: 90.283783
Subtracting 222 from 280 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.

On to step 11:
If we divide 580 by 74, we get 7 and a remainder of 62.
Write down 7 as next digit of the result. 
Result so far: 90.2837837
The remainder is 62 after subtracting 518 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 12:
74 goes into 620 8 times with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 90.28378378
If we subtract 592 from 620, we 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.

Our division results in 90.28378378 with a remaining 2.8e-08.