We look at the division of 688661 by 4 
We want to figure out the number of times 688661 can be divided by 4.

Advancing to step 1:
6 divided by 4 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 2 after subtracting 4 from 6.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Going ahead to step 2:
4 can be fit into 28 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 28 from 28, we get 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 4

Going ahead to step 3:
4 goes into 8 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 172.0
The remainder is 0 after subtracting 8 from 8.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 4

Advancing to step 4:
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: 1721.0
Subtract 4 from 6 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 4

Advancing to step 5:
When dividing 26 by 4, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 17216.0
Deduct 24 from 26 and we're left with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 4

On to step 6:
If we divide 21 by 4, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 172165.0
If we subtract 20 from 21, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
4 goes into 10 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 172165.2
Subtracting 8 from 10 leaves us with 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:
When dividing 20 by 4, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 172165.25
Subtract 20 from 20 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.

Going ahead to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 172165.25
Deduct 0 from 0 and we're left 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.

On to step 10:
The number 4 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 172165.25
If we subtract 0 from 0, we 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.

The quotient of the division is 172165.25, and the remainder is 0.0.