We divide 553659 by 68
We're looking to find how many times 68 goes into 553659.

Step 1:
5 divided by 68 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 68

Moving on to step 2:
68 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 68

Going ahead to step 3:
553 divided by 68 is 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 9 after subtracting 544 from 553.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 68

Moving on to step 4:
If we divide 96 by 68, we get 1 and a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
If we subtract 68 from 96, we get 28.
Bring next digit (5) of the dividend behind the 28 and repeat the process: 285 / 68

Let's proceed to step 5:
The number 68 fits into 285 4 times, leaving a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 814.0
Subtract 272 from 285 to get 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 68

On to step 6:
68 can be fit into 139 2 times, resulting in a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 8142.0
Subtract 136 from 139 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 68 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8142.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
68 goes into 300 4 times with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 8142.04
Subtract 272 from 300 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.

Moving on to step 9:
If we divide 280 by 68, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 8142.044
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 8142.044 with a remaining 0.0008.