We divide 578678 by 89
We want to divide 578678 by 89.

Moving on to step 1:
If we divide 5 by 89, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 89

On to step 2:
89 can be fit into 57 0 times, resulting in a remainder of 57.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 57 leaves us with 57.
Take the next digit (8) from the dividend and append it to 57, then repeat: 578 / 89

Going ahead to step 3:
89 can be fit into 578 6 times, resulting in a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 534 from 578 to get 44.
Include the next digit (6) from the dividend after 44, then repeat: 446 / 89

On to step 4:
If we divide 446 by 89, we get 5 and a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 65.0
The remainder is 1 after subtracting 445 from 446.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 89

Step 5:
89 goes into 17 0 times with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 650.0
If we subtract 0 from 17, we get 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 89

On to step 6:
178 divided by 89 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 6502.0
The remainder is 0 after subtracting 178 from 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
If we divide 0 by 89, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 6502.0
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.

Moving on to step 8:
If we divide 0 by 89, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6502.0
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.

After the division, we end up with 6502.0 and a remainder of 0.0.