6659684 ÷ 889 
We want to divide 6659684 by 889.

Step 1:
If we divide 6 by 889, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 889

Going ahead to step 2:
If we divide 66 by 889, we get 0 and a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Include the next digit (5) from the dividend after 66, then repeat: 665 / 889

On to step 3:
When dividing 665 by 889, we get 0 with a remainder of 665.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 665 after subtracting 0 from 665.
Fetch the next digit (9) from the dividend, attach it to 665 and continue: 6659 / 889

Moving on to step 4:
The number 889 fits into 6659 7 times, leaving a remainder of 436.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 436 after subtracting 6223 from 6659.
Fetch the next digit (6) from the dividend, attach it to 436 and continue: 4366 / 889

On to step 5:
If we divide 4366 by 889, we get 4 and a remainder of 810.
Write down 4 as next digit of the result. 
Result so far: 74.0
The remainder is 810 after subtracting 3556 from 4366.
Include the next digit (8) from the dividend after 810, then repeat: 8108 / 889

Moving on to step 6:
If we divide 8108 by 889, we get 9 and a remainder of 107.
The number 9 becomes the next digit in our result. 
Result so far: 749.0
If we take 8001 away from 8108, we end up with 107.
Grab the next digit (4) from the dividend, add it to 107, then carry on: 1074 / 889

Moving on to step 7:
If we divide 1074 by 889, we get 1 and a remainder of 185.
The next digit of our result is 1. 
Result so far: 7491.0
If we take 889 away from 1074, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

On to step 8:
889 goes into 1850 2 times with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 7491.2
The remainder is 72 after subtracting 1778 from 1850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 9:
889 goes into 720 0 times with a remainder of 720.
Use 0 as the next digit of our solution. 
Result so far: 7491.2
If we take 0 away from 720, we end up with 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Going ahead to step 10:
7200 divided by 889 is 8 with a remainder of 88.
Use 8 as the next digit of our solution. 
Result so far: 7491.208
Subtracting 7112 from 7200 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Let's proceed to step 11:
If we divide 880 by 889, we get 0 and a remainder of 880.
Write down 0 as next digit of the result. 
Result so far: 7491.208
Subtracting 0 from 880 leaves us with 880.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8800, and continue the process.

Let's proceed to step 12:
889 can be fit into 8800 9 times, resulting in a remainder of 799.
The number 9 becomes the next digit in our result. 
Result so far: 7491.20809
The remainder is 799 after subtracting 8001 from 8800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7990, and continue the process.

Step 13:
889 goes into 7990 8 times with a remainder of 878.
Write down 8 as next digit of the result. 
Result so far: 7491.208098
Deduct 7112 from 7990 and we're left with 878.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8780, and continue the process.

Going ahead to step 14:
The number 889 fits into 8780 9 times, leaving a remainder of 779.
Put 9 as the next digit of the answer. 
Result so far: 7491.2080989
If we subtract 8001 from 8780, we get 779.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7790, and continue the process.

Going ahead to step 15:
If we divide 7790 by 889, we get 8 and a remainder of 678.
The number 8 becomes the next digit in our result. 
Result so far: 7491.20809898
Subtract 7112 from 7790 to get 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

The final result is 7491.20809898 with a remainder of 6.78e-07.