We're dividing 676659 by 4 
Our goal is to divide 676659 by 4.

Step 1:
The number 4 fits into 6 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 4 away from 6, we end up with 2.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 4

Advancing to step 2:
If we divide 27 by 4, we get 6 and a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 24 from 27 and we're left with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 4

Going ahead to step 3:
4 goes into 36 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 169.0
The remainder is 0 after subtracting 36 from 36.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 4

Moving on to step 4:
When dividing 6 by 4, we get 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1691.0
Subtracting 4 from 6 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 4

Let's proceed to step 5:
4 can be fit into 25 6 times, resulting in a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 16916.0
The remainder is 1 after subtracting 24 from 25.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 4

Moving on to step 6:
4 can be fit into 19 4 times, resulting in a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 169164.0
Deduct 16 from 19 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 169164.7
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
4 goes into 20 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 169164.75
Subtracting 20 from 20 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
0 divided by 4 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 169164.75
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
4 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 169164.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 169164.75 with a remainder of 0.0.