Let's divide 575946 by 89
We're looking to find how many times 89 goes into 575946.

Advancing to step 1:
When dividing 5 by 89, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 89

Step 2:
57 divided by 89 is 0 with a remainder of 57.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 57 to get 57.
Bring next digit (5) of the dividend behind the 57 and repeat the process: 575 / 89

Moving on to step 3:
The number 89 fits into 575 6 times, leaving a remainder of 41.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 534 from 575 and we're left with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 89

Moving on to step 4:
89 can be fit into 419 4 times, resulting in a remainder of 63.
The next digit of our result is 4. 
Result so far: 64.0
Subtracting 356 from 419 leaves us with 63.
Include the next digit (4) from the dividend after 63, then repeat: 634 / 89

Moving on to step 5:
89 goes into 634 7 times with a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 647.0
If we take 623 away from 634, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 89

On to step 6:
89 can be fit into 116 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 6471.0
The remainder is 27 after subtracting 89 from 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
When dividing 270 by 89, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 6471.3
Subtracting 267 from 270 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
The number 89 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 6471.3
If we take 0 away from 30, 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.

Let's proceed to step 9:
89 goes into 300 3 times with a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 6471.303
If we subtract 267 from 300, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 10:
The number 89 fits into 330 3 times, leaving a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 6471.3033
Subtract 267 from 330 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

The final outcome is 6471.3033, with a leftover of 0.00063.