We divide 597365 by 89
Our goal is to divide 597365 by 89.

Moving on to step 1:
The number 89 fits into 5 0 times, leaving 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 (9) from the dividend after 5, then repeat: 59 / 89

Let's proceed to step 2:
If we divide 59 by 89, we get 0 and a remainder of 59.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 59 and we're left with 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 89

Advancing to step 3:
89 goes into 597 6 times with a remainder of 63.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 534 from 597 and we're left with 63.
Append the next digit (3) from the dividend to 63 and continue with: 633 / 89

Going ahead to step 4:
The number 89 fits into 633 7 times, leaving a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 67.0
Subtract 623 from 633 to get 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 89

Advancing to step 5:
The number 89 fits into 106 1 times, leaving a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 671.0
If we subtract 89 from 106, we get 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 89

Going ahead to step 6:
175 divided by 89 is 1 with a remainder of 86.
Record the quotient 1 as the next digit in the result. 
Result so far: 6711.0
If we subtract 89 from 175, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 7:
89 goes into 860 9 times with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 6711.9
Deduct 801 from 860 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 8:
89 can be fit into 590 6 times, resulting in a remainder of 56.
The next digit of our result is 6. 
Result so far: 6711.96
If we take 534 away from 590, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
When dividing 560 by 89, we get 6 with a remainder of 26.
The next digit of our result is 6. 
Result so far: 6711.966
If we subtract 534 from 560, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final outcome is 6711.966, with a leftover of 0.0026.