We divide 553568 by 70
We want to figure out the number of times 553568 can be divided by 70.

On to step 1:
If we divide 5 by 70, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 70

Going ahead to step 2:
If we divide 55 by 70, we get 0 and a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Fetch the next digit (3) from the dividend, attach it to 55 and continue: 553 / 70

On to step 3:
The number 70 fits into 553 7 times, leaving a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 490 away from 553, we end up with 63.
Append the next digit (5) from the dividend to 63 and continue with: 635 / 70

Advancing to step 4:
The number 70 fits into 635 9 times, leaving a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
Subtract 630 from 635 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 70

Let's proceed to step 5:
If we divide 56 by 70, we get 0 and a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 790.0
Subtracting 0 from 56 leaves us with 56.
Grab the next digit (8) from the dividend, add it to 56, then carry on: 568 / 70

Moving on to step 6:
70 can be fit into 568 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 7908.0
The remainder is 8 after subtracting 560 from 568.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
80 divided by 70 is 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 7908.1
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
If we divide 100 by 70, we get 1 and a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 7908.11
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 7908.11 with a remainder of 0.03.