We look at the division of 42219666 by 688 
We want to divide 42219666 by 688.

On to step 1:
688 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 688

Let's proceed to step 2:
42 divided by 688 is 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 688

Moving on to step 3:
The number 688 fits into 422 0 times, leaving a remainder of 422.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 422 to get 422.
Fetch the next digit (1) from the dividend, attach it to 422 and continue: 4221 / 688

Step 4:
4221 divided by 688 is 6 with a remainder of 93.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 4128 from 4221 and we're left with 93.
Include the next digit (9) from the dividend after 93, then repeat: 939 / 688

Step 5:
688 can be fit into 939 1 times, resulting in a remainder of 251.
Write down 1 as next digit of the result. 
Result so far: 61.0
If we take 688 away from 939, we end up with 251.
Include the next digit (6) from the dividend after 251, then repeat: 2516 / 688

Going ahead to step 6:
If we divide 2516 by 688, we get 3 and a remainder of 452.
Put 3 as the next digit of the answer. 
Result so far: 613.0
Deduct 2064 from 2516 and we're left with 452.
Include the next digit (6) from the dividend after 452, then repeat: 4526 / 688

Advancing to step 7:
The number 688 fits into 4526 6 times, leaving a remainder of 398.
Put 6 as the next digit of the answer. 
Result so far: 6136.0
Subtracting 4128 from 4526 leaves us with 398.
Take the next digit (6) from the dividend and append it to 398, then repeat: 3986 / 688

Step 8:
688 can be fit into 3986 5 times, resulting in a remainder of 546.
The next digit of our result is 5. 
Result so far: 61365.0
If we take 3440 away from 3986, we end up with 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

Moving on to step 9:
688 can be fit into 5460 7 times, resulting in a remainder of 644.
The number 7 becomes the next digit in our result. 
Result so far: 61365.7
Subtract 4816 from 5460 to get 644.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Going ahead to step 10:
If we divide 6440 by 688, we get 9 and a remainder of 248.
Record the quotient 9 as the next digit in the result. 
Result so far: 61365.79
Subtract 6192 from 6440 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Advancing to step 11:
688 can be fit into 2480 3 times, resulting in a remainder of 416.
Write down 3 as next digit of the result. 
Result so far: 61365.793
The remainder is 416 after subtracting 2064 from 2480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

On to step 12:
When dividing 4160 by 688, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 61365.7936
If we take 4128 away from 4160, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
320 divided by 688 is 0 with a remainder of 320.
Write down 0 as next digit of the result. 
Result so far: 61365.7936
If we take 0 away from 320, we end up with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

On to step 14:
688 goes into 3200 4 times with a remainder of 448.
Write down 4 as next digit of the result. 
Result so far: 61365.793604
Subtracting 2752 from 3200 leaves us with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Moving on to step 15:
The number 688 fits into 4480 6 times, leaving a remainder of 352.
The next digit of our result is 6. 
Result so far: 61365.7936046
If we subtract 4128 from 4480, we get 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Step 16:
688 goes into 3520 5 times with a remainder of 80.
Record the quotient 5 as the next digit in the result. 
Result so far: 61365.79360465
Deduct 3440 from 3520 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 61365.79360465 with a balance of 8e-08.