We look at the division of 589624 by 89 
We want to divide 589624 by 89.

Let's proceed to step 1:
89 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 89

Going ahead to step 2:
The number 89 fits into 58 0 times, leaving a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Append the next digit (9) from the dividend to 58 and continue with: 589 / 89

On to step 3:
89 goes into 589 6 times with a remainder of 55.
The next digit of our result is 6. 
Result so far: 6.0
If we take 534 away from 589, we end up with 55.
Fetch the next digit (6) from the dividend, attach it to 55 and continue: 556 / 89

Moving on to step 4:
89 can be fit into 556 6 times, resulting in a remainder of 22.
The next digit of our result is 6. 
Result so far: 66.0
Subtract 534 from 556 to get 22.
Bring next digit (2) of the dividend behind the 22 and repeat the process: 222 / 89

Going ahead to step 5:
89 can be fit into 222 2 times, resulting in a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 662.0
Subtracting 178 from 222 leaves us with 44.
Grab the next digit (4) from the dividend, add it to 44, then carry on: 444 / 89

On to step 6:
89 goes into 444 4 times with a remainder of 88.
Use 4 as the next digit of our solution. 
Result so far: 6624.0
If we take 356 away from 444, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 7:
The number 89 fits into 880 9 times, leaving a remainder of 79.
The number 9 becomes the next digit in our result. 
Result so far: 6624.9
If we take 801 away from 880, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 8:
The number 89 fits into 790 8 times, leaving a remainder of 78.
Write down 8 as next digit of the result. 
Result so far: 6624.98
If we take 712 away from 790, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 9:
89 goes into 780 8 times with a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 6624.988
Subtracting 712 from 780 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The quotient of the division is 6624.988, and the remainder is 0.0068.